Math 10 C Measurement Unit
|
|
|
- Theresa Mills
- 5 years ago
- Views:
Transcription
1 Math 10 C Measurement Unit Name: Class: Date: ID: A Chapter Test Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Which imperial unit is most appropriate for measuring the length of a hockey rink? a. Miles b. Feet c. Yards d. Inches 2. A figure skating blade is 0.15 in. wide. What is this width to the nearest millimetre? a. 5 mm b. 4 mm c. 3 mm d. 6 mm 3. Convert 142 in. to yards, feet, and inches. a. 10 yd. 2 ft. 3 in. b. 3 yd. 2 ft. 10 in. c. 1 yd. 2 ft. 22 in. d. 5 yd. 0 ft. 22 in. 4. A regular tetrahedron has base area m 2 and height 10.7 m. Determine its volume to the nearest cubic metre. a. 546 m 3 b. 486 m 3 c m 3 d m 3 5. Calculate the slant height, s, of this right square pyramid to the nearest tenth of a centimetre. a cm b. 6.1 cm c cm d cm 6. Mars approximates a sphere with radius 2100 mi. What is the approximate volume of Mars? a mi. 3 b mi. 3 c mi. 3 d mi The circumference of a medicine ball is 24 in. Determine its surface area to the nearest inch². a. 733 square inches b. 183 square inches c. 88 square inches d. 233 square inches 1
2 ID: A 8. Which referent could you use for 1 ft.? a. The distance between Regina and Whiteho b. The diameter of a basketball c. The height of your math teacher d. The height of an ice hockey net 9. A right cylinder has a hemisphere removed from the top. Determine the volume of the object, to the nearest cubic inch. a cubic inches b cubic inches c. 643 cubic inches d cubic inches 2
3 ID: A Math 10C Formula Sheet 10. Conversion Table Imperial to Imperial Imperial to SI (Metric) 12 inches (in) = 1 foot (ft) 2.54 cm = 1 in. 3 feet (ft) = 1 yard (rd) 1760 yards (yds) = 1 mile (mi) 1.6 km = 1 mi. Right Triangles Pythagorean Theorem a 2 + b 2 = c 2 Perimeter Trigonometry ratios Square P = 4s sin A = opposite hypotenuse Area Rectangle P = 2 + 2w cos A = adjacent hypotenuse Circle Circumference C = 2πr or C = πd Square A = s 2 Rectangle A = bh tan A = opposite adjacent Exponent Laws 1 a n n = a a m n n = a m Parallelogram A = bh a n = 1, a 0 a n Triangle A = 1 2 bh a m a n = a mn or Ê n Á a ˆ m Circle A = πr 2 a m a n = a m n, a 0 Surface Area Ê a m ˆ n Á = a mn Right Pyramid ( ab) = a m b m SA = 1 sê Ê a ˆ m perimeter of base 2 Á ˆ + ( base area) Á b = a m b m Right Cylinder SA = 2πr 2 + 2πrh Right Cone SA = πr 2 + πrs Sphere SA = 4πr 2 Volume Coordinate Geometry Slope = rise run or Slope = y 2 y 1 x 2 x 1 Slope y-intercept form of a line: Right Rectangular Prism V = wh Right Rectangular Pyramid V = 1 3 wh y = mx + b Slope point form of a line: 3
4 ID: A Right Cylinder V = πr 2 h y y 1 = mê Áx x 1 ˆ Right Cone V = 1 3 πr2 h General form of a line: Sphere V = 4 3 πr3 Ax + By + C = 0 Short Answer 11. Measure the length of the rectangle using the inch ruler shown. 14. A right cone has a slant height of 11 cm and a base diameter of 19 cm. Determine the volume of the cone to the nearest square centimetre. 12. Convert 3 ft. 9 in. to inches. 15. A regular tetrahedron has an edge length of 9.0 m and a slant height of 7.8 m. Calculate the surface area of the tetrahedron to the nearest tenth of a square metre. 13. A killer whale is 8.3 m long. Convert this length to feet and the nearest inch... 4
5 ID: A 16. Determine the volume of the following sphere to the nearest cubic inch. 17. The base of this cone is to be glued to the circular face of the hemisphere. Calculate the surface area of the composite object formed, to the nearest square inch. 5
6 ID: A 18. A solid sphere just fits inside a cube that has an edge length equal to the diameter of the sphere. The edge length of the cube is 6.1 cm. What is the volume of air in the cube to the nearest cubic centimetre? 19. Multiple choice Answers:
7 ID: A Chapter Test Answer Section MULTIPLE CHOICE 1. C 2. B 3. B 4. B 5. C 6. B 7. B 8. B 9. B OTHER 10. Math 10C Formulas SHORT ANSWER inches in ft. 3 in cm m cubic inches 17. The surface area of the composite object is: = The surface area of the composite object is approximately 101 square inches. 18. The volume of air in the cube is: = The volume of air in the cube is approximately 108 cm answers 1
8 Math 10 C Measurement Unit Name: Class: Date: ID: B Chapter Test Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Which imperial unit is most appropriate for measuring the length of a hockey rink? a. Miles b. Feet c. Yards d. Inches 2. A figure skating blade is 0.15 in. wide. What is this width to the nearest millimetre? a. 5 mm b. 4 mm c. 3 mm d. 6 mm 3. Convert 121 in. to yards, feet, and inches. a. 1 yd. 1 ft. 3 in. b. 3 yd. 1 ft. 1 in. c. 1 yd. 2 ft. 1 in. d. 5 yd. 0 ft. 1 in. 4. A regular tetrahedron has base area m 2 and height 8.7 m. Determine its volume to the nearest cubic metre. a. 546 m 3 b. 396 m 3 c m 3 d m 3 5. Calculate the slant height, s, of this right square pyramid to the nearest tenth of a centimetre. a cm b. 6.1 cm c cm d cm 6. Mars approximates a sphere with radius 2100 mi. What is the approximate volume of Mars? a mi. 3 b mi. 3 c mi. 3 d mi The circumference of a medicine ball is 23 in. Determine its surface area to the nearest inch². a. 674 square inches b. 168 square inches c. 83 square inches d. 205 square inches 1
9 ID: B 8. Which referent could you use for 1 ft.? a. The distance between Regina and Whiteho b. The diameter of a basketball c. The height of your math teacher d. The height of an ice hockey net 9. A right cylinder has a hemisphere removed from the top. Determine the volume of the object, to the nearest cubic inch. a. 552 cubic inches b. 641 cubic inches c. 379 cubic inches d. 654 cubic inches 2
10 ID: B Math 10C Formula Sheet 10. Conversion Table Imperial to Imperial Imperial to SI (Metric) 12 inches (in) = 1 foot (ft) 2.54 cm = 1 in. 3 feet (ft) = 1 yard (rd) 1760 yards (yds) = 1 mile (mi) 1.6 km = 1 mi. Right Triangles Pythagorean Theorem a 2 + b 2 = c 2 Perimeter Trigonometry ratios Square P = 4s sin A = opposite hypotenuse Area Rectangle P = 2 + 2w cos A = adjacent hypotenuse Circle Circumference C = 2πr or C = πd Square A = s 2 Rectangle A = bh tan A = opposite adjacent Exponent Laws 1 a n n = a a m n n = a m Parallelogram A = bh a n = 1, a 0 a n Triangle A = 1 2 bh a m a n = a mn or Ê n Á a ˆ m Circle A = πr 2 a m a n = a m n, a 0 Surface Area Ê a m ˆ n Á = a mn Right Pyramid ( ab) = a m b m SA = 1 sê Ê a ˆ m perimeter of base 2 Á ˆ + ( base area) Á b = a m b m Right Cylinder SA = 2πr 2 + 2πrh Right Cone SA = πr 2 + πrs Sphere SA = 4πr 2 Volume Coordinate Geometry Slope = rise run or Slope = y 2 y 1 x 2 x 1 Slope y-intercept form of a line: Right Rectangular Prism V = wh Right Rectangular Pyramid V = 1 3 wh y = mx + b Slope point form of a line: 3
11 ID: B Right Cylinder V = πr 2 h y y 1 = mê Áx x 1 ˆ Right Cone V = 1 3 πr2 h General form of a line: Sphere V = 4 3 πr3 Ax + By + C = 0 Short Answer 11. Measure the length of the rectangle using the inch ruler shown. 14. A right cone has a slant height of 11 cm and a base diameter of 19 cm. Determine the volume of the cone to the nearest square centimetre. 12. Convert 4 ft. 9 in. to inches. 15. A regular tetrahedron has an edge length of 9.0 m and a slant height of 7.8 m. Calculate the surface area of the tetrahedron to the nearest tenth of a square metre. 13. A killer whale is 8.8 m long. Convert this length to feet and the nearest inch... 4
12 ID: B 16. Determine the volume of the following sphere to the nearest cubic inch. 17. The base of this cone is to be glued to the circular face of the hemisphere. Calculate the surface area of the composite object formed, to the nearest square inch. 5
13 ID: B 18. A solid sphere just fits inside a cube that has an edge length equal to the diameter of the sphere. The edge length of the cube is 5.1 cm. What is the volume of air in the cube to the nearest cubic centimetre? 19. Multiple choice Answers:
14 ID: B Chapter Test Answer Section MULTIPLE CHOICE 1. C 2. B 3. B 4. B 5. C 6. B 7. B 8. B 9. B OTHER 10. Math 10C Formulas SHORT ANSWER inches in ft. 10 in cm m cubic inches 17. The surface area of the composite object is: = The surface area of the composite object is approximately 113 square inches. 18. The volume of air in the cube is: = The volume of air in the cube is approximately 63 cm answers 1
15 Math 10 C Measurement Unit Name: Class: Date: ID: C Chapter Test Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Which imperial unit is most appropriate for measuring the length of a hockey rink? a. Miles b. Feet c. Yards d. Inches 2. A figure skating blade is 0.15 in. wide. What is this width to the nearest millimetre? a. 5 mm b. 4 mm c. 3 mm d. 6 mm 3. Convert 121 in. to yards, feet, and inches. a. 1 yd. 1 ft. 3 in. b. 3 yd. 1 ft. 1 in. c. 1 yd. 2 ft. 1 in. d. 5 yd. 0 ft. 1 in. 4. A regular tetrahedron has base area m 2 and height 10.7 m. Determine its volume to the nearest cubic metre. a. 506 m 3 b. 451 m 3 c m 3 d m 3 5. Calculate the slant height, s, of this right square pyramid to the nearest tenth of a centimetre. a cm b. 6.1 cm c cm d cm 6. Mars approximates a sphere with radius 2075 mi. What is the approximate volume of Mars? a mi. 3 b mi. 3 c mi. 3 d mi The circumference of a medicine ball is 26 in. Determine its surface area to the nearest inch². a. 861 square inches b. 215 square inches c. 100 square inches d. 297 square inches 1
16 ID: C 8. Which referent could you use for 1 ft.? a. The distance between Regina and Whiteho b. The diameter of a basketball c. The height of your math teacher d. The height of an ice hockey net 9. A right cylinder has a hemisphere removed from the top. Determine the volume of the object, to the nearest cubic inch. a cubic inches b cubic inches c. 643 cubic inches d cubic inches 2
17 ID: C Math 10C Formula Sheet 10. Conversion Table Imperial to Imperial Imperial to SI (Metric) 12 inches (in) = 1 foot (ft) 2.54 cm = 1 in. 3 feet (ft) = 1 yard (rd) 1760 yards (yds) = 1 mile (mi) 1.6 km = 1 mi. Right Triangles Pythagorean Theorem a 2 + b 2 = c 2 Perimeter Trigonometry ratios Square P = 4s sin A = opposite hypotenuse Area Rectangle P = 2 + 2w cos A = adjacent hypotenuse Circle Circumference C = 2πr or C = πd Square A = s 2 Rectangle A = bh tan A = opposite adjacent Exponent Laws 1 a n n = a a m n n = a m Parallelogram A = bh a n = 1, a 0 a n Triangle A = 1 2 bh a m a n = a mn or Ê n Á a ˆ m Circle A = πr 2 a m a n = a m n, a 0 Surface Area Ê a m ˆ n Á = a mn Right Pyramid ( ab) = a m b m SA = 1 sê Ê a ˆ m perimeter of base 2 Á ˆ + ( base area) Á b = a m b m Right Cylinder SA = 2πr 2 + 2πrh Right Cone SA = πr 2 + πrs Sphere SA = 4πr 2 Volume Coordinate Geometry Slope = rise run or Slope = y 2 y 1 x 2 x 1 Slope y-intercept form of a line: Right Rectangular Prism V = wh Right Rectangular Pyramid V = 1 3 wh y = mx + b Slope point form of a line: 3
18 ID: C Right Cylinder V = πr 2 h y y 1 = mê Áx x 1 ˆ Right Cone V = 1 3 πr2 h General form of a line: Sphere V = 4 3 πr3 Ax + By + C = 0 Short Answer 11. Measure the length of the rectangle using the inch ruler shown. 14. A right cone has a slant height of 11 cm and a base diameter of 19 cm. Determine the volume of the cone to the nearest square centimetre. 12. Convert 5 ft. 9 in. to inches. 15. A regular tetrahedron has an edge length of 11.0 m and a slant height of 9.5 m. Calculate the surface area of the tetrahedron to the nearest tenth of a square metre. 13. A killer whale is 7.8 m long. Convert this length to feet and the nearest inch... 4
19 ID: C 16. Determine the volume of the following sphere to the nearest cubic inch. 17. The base of this cone is to be glued to the circular face of the hemisphere. Calculate the surface area of the composite object formed, to the nearest square inch. 5
20 ID: C 18. A solid sphere just fits inside a cube that has an edge length equal to the diameter of the sphere. The edge length of the cube is 5.9 cm. What is the volume of air in the cube to the nearest cubic centimetre? 19. Multiple choice Answers:
21 ID: C Chapter Test Answer Section MULTIPLE CHOICE 1. C 2. B 3. B 4. B 5. C 6. B 7. B 8. B 9. B OTHER 10. Math 10C Formulas SHORT ANSWER inches in ft. 7 in cm m cubic inches 17. The surface area of the composite object is: = The surface area of the composite object is approximately 184 square inches. 18. The volume of air in the cube is: = The volume of air in the cube is approximately 98 cm answers 1
Chapter 1 Measurement
Chapter 1 Measurement Math 1201 1 Chapter 1 Measurement Sections 1.1-1.3: Goals: Converting between imperial units by unit analysis Converting between SI units Converting between SI and imperial units
Volume of Cylinders. Volume of Cones. Example Find the volume of the cylinder. Round to the nearest tenth.
Volume of Cylinders As with prisms, the area of the base of a cylinder tells the number of cubic units in one layer. The height tells how many layers there are in the cylinder. The volume V of a cylinder
Review Unit 1. Multiple Choice Identify the choice that best completes the statement or answers the question.
Review Unit 1 Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Which referent could you use for 1 m? a. The width of a computer keyboard b. The length of
G r a d e 1 0 I n t r o d u c t i o n t o A p p l i e d a n d P r e - C a l c u l u s M a t h e m a t i c s ( 2 0 S )
G r a d e 0 I n t r o d u c t i o n t o A p p l i e d a n d P r e - C a l c u l u s M a t h e m a t i c s ( 0 S ) Midterm Practice Exam Answer Key G r a d e 0 I n t r o d u c t i o n t o A p p l i e d
Geometry Review Chapter 10: Volume PA Anchors: A3; B2; C1. 1. Name the geometric solid suggested by a frozen juice can.
Geometry Review Chapter 10: Volume PA Anchors: A; B2; C1 1. Name the geometric solid suggested by a frozen juice can. 2. Name the geometric solid suggested by a beach ball.. Name the geometric solid suggested
Pearson Foundations and Pre-calculus Mathematics 10
Cumulative Review Chapters and (pages 0-) Chapter. a) Since yd. = ft., to convert feet to yards, divide by. 70 70 ft. yd. 70 ft. yd. 70 ft. yd. ft. b) The perimeter of the pen is greater than yd., so Andrea
Part I Multiple Choice
Oregon Focus on Surface Area and Volume Practice Test ~ Surface Area Name Period Date Long/Short Term Learning Targets MA.MS.07.ALT.05: I can solve problems and explain formulas involving surface area
Lesson 10T ~ Three-Dimensional Figures
Lesson 10T ~ Three-Dimensional Figures Name Period Date Use the table of names at the right to name each solid. 1. 2. Names of Solids 3. 4. 4 cm 4 cm Cone Cylinder Hexagonal prism Pentagonal pyramid Rectangular
Chapter 12 Review Period:
Chapter 12 Review Name: Period: 1. Find the number of vertices, faces, and edges for the figure. 9. A polyhedron has 6 faces and 7 vertices. How many edges does it have? Explain your answer. 10. Find the
1.1 Metric Systems. Learning Target: to practice converting between different metric units. Main Ideas:
1.1 Metric Systems Learning Target: to practice converting between different metric units Formula sheet Multiplying and dividing fractions Definitions Metric System The International System of Units, abbreviated
Assignment Guide: Chapter 11 Geometry (L3)
Assignment Guide: Chapter 11 Geometry (L3) (136) 11.1 Space Figures and Cross Sections Page 692-693 #7-23 odd, 35 (137) 11.2/11.4 Surface Areas and Volumes of Prisms Page 703-705 #1, 2, 7-9, 11-13, 25,
Unit 8 Syllabus: Surface Area & Volume
Date Period Day Unit 8 Syllabus: Surface Area & Volume Topic 1 Space Figures and Cross Sections Surface Area and Volume of Spheres 3 Surface Area of Prisms and Cylinders Surface Area of Pyramids and Cones
Grades 7 & 8, Math Circles 20/21/22 February, D Geometry
Faculty of Mathematics Waterloo, Ontario N2L 3G1 Centre for Education in Mathematics and Computing 2D Geometry Review Grades 7 & 8, Math Circles 20/21/22 February, 2018 3D Geometry Two-dimensional shapes
Sect Volume. 3 ft. 2 ft. 5 ft
199 Sect 8.5 - Volume Objective a & b: Understanding Volume of Various Solids The Volume is the amount of space a three dimensional object occupies. Volume is measured in cubic units such as in or cm.
Surface Area and Volume
Surface Area and Volume Day 1 - Surface Area of Prisms Surface Area = The total area of the surface of a three-dimensional object (Or think of it as the amount of paper you ll need to wrap the shape.)
Volume and Surface Area Unit 28 Remember Volume of a solid figure is calculated in cubic units and measures three dimensions.
Volume and Surface Area Unit 28 Remember Volume of a solid figure is calculated in cubic units and measures three dimensions. Surface Area is calculated in square units and measures two dimensions. Prisms
Answer Section. Honors Geometry Final Study Guide 2013 Solutions and Section References 1. ANS: 900
Honors Geometry Final Study Guide 2013 Solutions and Section References Answer Section 1. ANS: 900 2. ANS: 6300 3. ANS: B 4. ANS: x = 111, y = 64 5. ANS: 45 6. ANS: 110 7. ANS: REF: 6-2 Properties of Parallelograms
3 Dimensional Geometry Chapter Questions. 1. What are the differences between prisms and pyramids? Cylinders and cones?
3 Dimensional Geometry Chapter Questions 1. What are the differences between prisms and pyramids? Cylinders and cones? 2. What is volume and how is it found? 3. How are the volumes of cylinders, cones
Geometry B. The University of Texas at Austin Continuing & Innovative Education K 16 Education Center 1
Geometry B Credit By Exam This Credit By Exam can help you prepare for the exam by giving you an idea of what you need to study, review, and learn. To succeed, you should be thoroughly familiar with the
Grades 7 & 8, Math Circles 20/21/22 February, D Geometry Solutions
Faculty of Mathematics Waterloo, Ontario NL 3G1 Centre for Education in Mathematics and Computing D Geometry Review Grades 7 & 8, Math Circles 0/1/ February, 018 3D Geometry Solutions Two-dimensional shapes
Chapter 7 Connect Algebra to Geometry
Lesson 7-1 Volume of Cylinders Page 79 Determine the volume of the cylinder. Round to the nearest tenth. V Bh V (π r ) h Volume of a cylinder The base is a circle. V π() (5) Replace r with and h with 5.
Chp1 Measurement. = 168 in. notice ft cancels and we are left with. 4.25, so 4ft exactly, ignore the decimal. Math 10 Pre-Calc &Foundations
Chp1 Measurement 1.1 Imperial Measurement used in construction and in America mostly. Skill converting with in Imperial, using the unit conversion method Common Conversion Factors Ex#1 convert 14ft to
Math 8: Identify Shapes and Surface Area
Name: Class: Date: Math 8: Identify Shapes and Surface Area 1. Name the solid according to its description: The figure has one base that is a rectangle and four lateral surfaces that are triangles. 2.
Determine the surface area of the following square-based pyramid. Determine the volume of the following triangular prism. ) + 9.
MPM 1D Name: Unit: Measurement Date: Calculating and of Three Dimensional Figures Use the Formula Sheet attached to help you to answer each of the following questions. Three problems are worked out for
Vocabulary. Triangular pyramid Square pyramid Oblique square pyramid Pentagonal pyramid Hexagonal Pyramid
CP1 Math 2 Unit 8: S.A., Volume, Trigonometry: Day 7 Name Surface Area Objectives: Define important vocabulary for 3-dimensional figures Find the surface area for various prisms Generalize a formula for
Name Class Date. Use Euler s Formula to find the missing number for each polyhedron.
Practice 11-1 Space Figures and Cross Sections Use Euler s Formula to find the missing number for each polyhedron. 1. Faces: 5 2. Faces: 7 3. Faces: 8 Edges: 7 Edges: 9 Edges: 18 Vertices: 5 Vertices:
Mr. Whelan Name: Block:
Mr. Whelan Name: Block: Geometry/Trig Unit 10 Area and Volume of Solids Notes Packet Day 1 Notes - Prisms Rectangular Prism: How do we find Total Area? Example 1 6cm Find the area of each face: Front:
Reteaching. Solids. These three-dimensional figures are space figures, or solids. A cylinder has two congruent circular bases.
9- Solids These three-dimensional figures are space figures, or solids A B C D cylinder cone prism pyramid A cylinder has two congruent circular bases AB is a radius A cone has one circular base CD is
Geometry Solids Identify Three-Dimensional Figures Notes
26 Geometry Solids Identify Three-Dimensional Figures Notes A three dimensional figure has THREE dimensions length, width, and height (or depth). Intersecting planes can form three dimensional figures
Name: Target 12.2: Find and apply surface of Spheres and Composites 12.2a: Surface Area of Spheres 12.2b: Surface Area of Composites Solids
Unit 12: Surface Area and Volume of Solids Target 12.0: Euler s Formula and Introduction to Solids Target 12.1: Find and apply surface area of solids 12.1a: Surface Area of Prisms and Cylinders 12.1b:
Practice A Introduction to Three-Dimensional Figures
Name Date Class Identify the base of each prism or pyramid. Then choose the name of the prism or pyramid from the box. rectangular prism square pyramid triangular prism pentagonal prism square prism triangular
12-3 Surface Areas of Pyramids and Cones
18. MOUNTAINS A conical mountain has a radius of 1.6 kilometers and a height of 0.5 kilometer. What is the lateral area of the mountain? The radius of the conical mountain is 1.6 kilometers and the height
Lesson 1 - Area Review Shape Words Formula
Lesson 1 - Area Review Shape Words Formula Rectangle The area A of a rectangle is the product of the length and the width w. A = w Parallelogram The area A of a parallelogram is the product of any base
ACCELERATED MATHEMATICS CHAPTER 11 DIMENSIONAL GEOMETRY TOPICS COVERED:
ACCELERATED MATHEMATICS CHAPTER DIMENSIONAL GEOMETRY TOPICS COVERED: Naming 3D shapes Nets Volume of Prisms Volume of Pyramids Surface Area of Prisms Surface Area of Pyramids Surface Area using Nets Accelerated
Geometry SIA #3. Name: Class: Date: Short Answer. 1. Find the perimeter of parallelogram ABCD with vertices A( 2, 2), B(4, 2), C( 6, 1), and D(0, 1).
Name: Class: Date: ID: A Geometry SIA #3 Short Answer 1. Find the perimeter of parallelogram ABCD with vertices A( 2, 2), B(4, 2), C( 6, 1), and D(0, 1). 2. If the perimeter of a square is 72 inches, what
Lincoln County Schools Patriot Day Instructional Expectations Patriot Day 4
Lincoln County Schools Patriot Day Instructional Expectations Patriot Day 4 School: LCHS Course/Subject: Geometry Teacher: Hamm, Harris, Napier, Dunn Learning Target: 2.08 I can use the distance formula
Additional Practice. Name Date Class
Additional Practice Investigation 1 1. The four nets below will fold into rectangular boxes. Net iii folds into an open box. The other nets fold into closed boxes. Answer the following questions for each
Study Guide and Review
State whether each sentence is or false. If false, replace the underlined term to make a sentence. 1. Euclidean geometry deals with a system of points, great circles (lines), and spheres (planes). false,
GEOMETRY SUMMER 2016 PRACTICE FINAL EXAM
GEOMETRY SUMMER 2016 PRACTICE FINAL EXAM Name: Instructions: 1. Show all work on the test itself for every problem. Partial credit is better than no credit. 2. Instructions have been provided for each
1. What referent (for the Imperial System) would be the most appropriate to use to estimate the measure of: a. 6 ft. = in. b. 39 ft. = yd.
Math 101 Review For Midterm Exam Unit One: 1. What referent (for the Imperial System) would be the most appropriate to use to estimate the measure of: a. a cellphone b. the width of the gym c. the height
( ) ( ) = π r Circumference: 2. Honors Geometry B Exam Review. Areas of Polygons. 1 A = bh Rectangle: A bh 2. Triangle: = Trapezoid: = ( + )
reas of Polygons Triangle: 1 = bh Rectangle: bh 1 b1 b h = Trapezoid: = ( + ) Parallelogram: = bh Regular Polygon: 1 1 = ap = apothem perimeter Coordinate Geometry y y1 Slope: Circles 1 1 1 Midpoint: +,
Geometry Surface Area and Volume of Pyramids and Cones.
Geometry 11.6 Surface Area and Volume of Pyramids and Cones mbhaub@mpsaz.org 11.6 Essential Question How do you find the surface area and volume of a pyramid or a cone? Geometry 1.3 Surface Area of Pyramids
Geometry Chapter 11 Review. 1 Find the surface area and volume of the figure. Where necessary, express your answer in terms of.
Geometry hapter 11 Review Name: ate: 1 Find the surface area and volume of the figure. Where necessary, express your answer in terms of. 206 in. 2 ; 192 in. 3 208 in. 2 ; 192 in. 3 212 in. 2 ; 194 in.
12-6 Surface Area and Volumes of Spheres. Find the surface area of each sphere or hemisphere. Round to the nearest tenth. SOLUTION: SOLUTION:
Find the surface area of each sphere or hemisphere. Round to the nearest tenth. 3. sphere: area of great circle = 36π yd 2 We know that the area of a great circle is r.. Find 1. Now find the surface area.
3 Dimensional Solids. Table of Contents. 3 Dimensional Solids Nets Volume Prisms and Cylinders Pyramids, Cones & Spheres
Table of Contents 3 Dimensional Solids Nets Volume Prisms and Cylinders Pyramids, Cones & Spheres Surface Area Prisms Pyramids Cylinders Spheres More Practice/ Review 3 Dimensional Solids Polyhedron A
1.4 Surface Area of Right Pyramids and Right Cones
Math 1201 Date: 1.4 Surface Area of Right Pyramids and Right Cones Understanding how to calculate surface area can be helpful in many real world applications. For example, surface area can be used to estimate
Geometry Unit 11 Practice Test
Name: Class: Date: ID: X Geometry Unit 11 Practice Test Short Answer 1. 2. What is the volume of the cylinder in terms of x? 3. What is the height of a square pyramid that has a side length of and a volume
1.0 Fractions Review Name: Date: Goal: to review some key fractions skills in preparation for the upcoming unit. Main Ideas: b)!!
1.0 Fractions Review Name: Date: Goal: to review some key fractions skills in preparation for the upcoming unit Toolkit: Working with integers Operations with fractions Main Ideas: Reducing Fractions To
Example Items. Geometry
Example Items Geometry Geometry Example Items are a representative set of items for the ACP. Teachers may use this set of items along with the test blueprint as guides to prepare students for the ACP.
COMMUNITY LEARNING CENTER LESSON PLAN
COMMUNITY LEARNING CENTER LESSON PLAN Level (preged or GED): Content Area (RLA, Math, Science, Social Studies): General Topic: GED Math Geometry Specific Lesson Title: Surface Area and Volume of pyramids,
Section 9.4. Volume and Surface Area. Copyright 2013, 2010, 2007, Pearson, Education, Inc.
Section 9.4 Volume and Surface Area What You Will Learn Volume Surface Area 9.4-2 Volume Volume is the measure of the capacity of a three-dimensional figure. It is the amount of material you can put inside
Math 1201 Unit 1: Measurement. Ch. 1 Notes
Math 101 Unit 1: Measurement Read Building On, Big Ideas and New Vocabulary, p. text. 1.1 Imperial Measures of Length ( classes) Read Lesson Focus p. 4 text. Outcomes Ch. 1 Notes 1. Define the Imperial
Date Lesson Text TOPIC Homework. SA of Prisms & Pyramids Pg. 441 # 1, 3, 5a, 7b, 11bc, 16. Surface Area of Cylinders WS 6.6
UNIT 6 MEASUREMENT Date Lesson Text TOPIC Homework May 6.1 8.1 May 4 6. 8. The Pythagorean Theorem Pg. 4 # 1ac, ac, ab, 4ac, 5, 7, 8, 10 Perimeter and Area (NO CIRCLES) Pg. 4 # 1acde, abdf,, 4, 11, 14,
mm. What is the length of the radius to
Math 1201 Review For Final Unit One: 1. Convert 99 inches to feet and inches. 2. What is the height of this right circular cone if the diameter is 24 cm? 13 3. Solve for x: 8 x 13 4. My drivers license
Practice Test Unit 8. Note: this page will not be available to you for the test. Memorize it!
Geometry Practice Test Unit 8 Name Period: Note: this page will not be available to you for the test. Memorize it! Trigonometric Functions (p. 53 of the Geometry Handbook, version 2.1) SOH CAH TOA sin
Perimeter. Area. Surface Area. Volume. Circle (circumference) C = 2πr. Square. Rectangle. Triangle. Rectangle/Parallelogram A = bh
Perimeter Circle (circumference) C = 2πr Square P = 4s Rectangle P = 2b + 2h Area Circle A = πr Triangle A = bh Rectangle/Parallelogram A = bh Rhombus/Kite A = d d Trapezoid A = b + b h A area a apothem
MATH-8 Review Volume of 3D shapes 2018 N Exam not valid for Paper Pencil Test Sessions
MATH-8 Review Volume of 3D shapes 2018 N Exam not valid for Paper Pencil Test Sessions [Exam ID:2YBSPT 1 What is the volume of a cube with a length of 8 inches? A 96 in 3 B 256 in 3 C 512 in 3 D 384 in
Park Forest Math Team. Meet #5. Self-study Packet. Problem Categories for this Meet (in addition to topics of earlier meets):
Park Forest Math Team Meet #5 Self-study Packet Problem Categories for this Meet (in addition to topics of earlier meets): 1. Mystery: Problem solving 2. : Solid (Volume and Surface Area) 3. Number Theory:
Pythagorean Theorem. Pythagorean Theorem
MPM 1D Unit 6: Measurement Lesson 1 Date: Learning goal: how to use Pythagorean Theorem to find unknown side length in a right angle triangle. Investigate: 1. What type of triangle is in the centre of
Example Items. Geometry
Example Items Geometry Geometry Example Items are a representative set of items for the P. Teachers may use this set of items along with the test blueprint as guides to prepare students for the P. On the
Practice Test - Chapter Use isometric dot paper and the orthographic drawings to sketch the solid.
1. Use isometric dot paper and the orthographic drawings to sketch the solid. top view: There are 3 rows and 6 columns. The dark segments indicate changes in depth at the 2nd and 3rd columns. left view:
Vocabulary. Term Page Definition Clarifying Example. cone. cube. cylinder. edge of a threedimensional. figure. face of a polyhedron.
CHAPTER 10 Vocabulary The table contains important vocabulary terms from Chapter 10. As you work through the chapter, fill in the page number, definition, and a clarifying example. cone Term Page Definition
C in. 2. D in Find the volume of a 7-inch tall drinking glass with a 4-inch diameter. C lateral faces. A in. 3 B in.
Standardized Test A For use after Chapter Multiple Choice. Which figure is a polyhedron? A B 7. Find the surface area of the regular pyramid. A 300 ft 2 B 340 ft 2 C 400 ft 2 C D D 700 ft 2 2. A polyhedron
Math Mealy Mountain Collegiate. Sample Midterm Exam. Name:
Math 2202 Mealy Mountain Collegiate Sample Midterm Exam Name: Formulas Square Rectangle A = s 2 A = l x w P 2l 2 w Triangle C 2 r A b h 2 Circle A r 2 C d or Cube Rectangle Prism SA = 6s 2 SA =2(l x w)+2(lxh)+2(wxh)
Measurement 1 PYTHAGOREAN THEOREM. The area of the square on the hypotenuse of a right triangle is equal to the sum of the areas of
Measurement 1 PYTHAGOREAN THEOREM Remember the Pythagorean Theorem: The area of the square on the hypotenuse of a right triangle is equal to the sum of the areas of the squares on the other two sides.
FSA Geometry End-of-Course Review Packet. Modeling and Geometry
FSA Geometry End-of-Course Review Packet Modeling and Geometry Table of Contents MAFS.912.G-MG.1.1 EOC Practice... 3 MAFS.912.G-MG.1.2 EOC Practice... 6 MAFS.912.G-MG.1.3 EOC Practice... 8 Modeling with
Geometry Surface Area & Volume of Prisms & Cylinders.
Geometry 11.5 Surface Area & Volume of Prisms & Cylinders mbhaub@mpsaz.org 11.5 Essential Question How do you find the surface area and volume of a prism or cylinder? Geometry 12.2 Surface Area of Prisms
MODULE 18 VOLUME FORMULAS
MODULE 18 VOLUME FORMULAS Objectives Use formulas routinely for finding the perimeter and area of basic prisms, pyramids, cylinders, cones, and spheres. Vocabulary: Volume, right vs oblique Assignments:
Geometry SOL G.13 G.14 Area, Surface Area, Volume Study Guide
Geometry SOL G.13 G.14 Area, Surface Area, Volume Study Guide Name Date Block Area, Surface Area, Volume Review and Study Guide You may use the SOL formula sheet but you must bring your own copy. Know
Geometry: Notes
Geometry: 11.5-11.8 Notes NAME 11.5 Volumes of Prisms and Cylinders Date: Define Vocabulary: volume Cavalieri s Principle density similar solids Examples: Finding Volumes of Prisms 1 Examples: Finding
Geometry 10 and 11 Notes
Geometry 10 and 11 Notes Area and Volume Name Per Date 10.1 Area is the amount of space inside of a two dimensional object. When working with irregular shapes, we can find its area by breaking it up into
Free Response. Test A. 1. What is the estimated area of the figure?
Test A 1. What is the estimated area of the 6. An 8.5 in. by 11 in. sheet of paper is enlarged to make a poster by doubling its length and width. What is the new perimeter? 7. How does the area of a square
Unit 7: 3D Figures 10.1 & D formulas & Area of Regular Polygon
Unit 7: 3D Figures 10.1 & 10.2 2D formulas & Area of Regular Polygon NAME Name the polygon with the given number of sides: 3-sided: 4-sided: 5-sided: 6-sided: 7-sided: 8-sided: 9-sided: 10-sided: Find
SP about Rectangular Blocks
1 3D Measure Outcomes Recognise and draw the nets of prisms, cylinders, and cones. Solve problems about the surface area and volume of rectangular blocks, cylinders, right cones, prisms, spheres, and solids
Area & Volume. Contents Area and perimeter formulae Finding missing lengths when given area or perimeter...
Area & Volume Aidan Ryan aidan.ryan@stmichaelscollege.com Contents Area and perimeter formulae... 2 Finding missing lengths when given area or perimeter... 8 Volume and surface area formulae... 9 Finding
A. 180 B. 108 C. 360 D. 540
Part I - Multiple Choice - Circle your answer: REVIEW FOR FINAL EXAM - GEOMETRY 2 1. Find the area of the shaded sector. Q O 8 P A. 2 π B. 4 π C. 8 π D. 16 π 2. An octagon has sides. A. five B. six C.
Ready To Go On? Skills Intervention 10-1 Solid Geometry
10A Find these vocabulary words in Lesson 10-1 and the Multilingual Glossary. Vocabulary Ready To Go On? Skills Intervention 10-1 Solid Geometry face edge vertex prism cylinder pyramid cone cube net cross
6. If QRSTU is a regular pentagon, what is the measure of T? 1. If STUV is a parallelogram, what are the coordinates of point U?
1. If UV is a parallelogram, what are the coordinates of point U?. If RU is a regular pentagon, what is the measure of? (0, y) U(?,?) (, 0) V( + z, 0) 7. hree siblings are to share an inheritance of $1,0
Volume of Pyramids and Cones
Volume of Pyramids and Cones Say Thanks to the Authors Click http://www.ck12.org/saythanks (No sign in required) To access a customizable version of this book, as well as other interactive content, visit
Lesson 7.3 Understanding the Pythagorean Theorem and Solids
Lesson 7.3 Understanding the Pythagorean Theorem and Solids For this practice, you may use a calculator. Use 3.14 as an approimation for π. Round your answer to the nearest tenth where necessary. For each
1201 Common Mathematics Assessment - June 2013 Answer Sheet. Name
1201 Common Mathematics Assessment - June 2013 Answer Sheet Name Mathematics Teacher: 1. A B C D 2. A B C D 3. A B C D 4. A B C D 5. A B C D 6. A B C D 7. A B C D 8. A B C D 9. A B C D 10. A B C D 11.
Geometry Final Exam Study Guide
Geometry Final Exam Study Guide Short Answer 1. Find the geometric mean between each pair of numbers. 256 and 841 2. Find x. Determine whether ΔQRS is a right triangle for the given vertices. Explain.
Chapter 1: Symmetry and Surface Area
Chapter 1: Symmetry and Surface Area Name: Section 1.1: Line Symmetry Line of symmetry(or reflection): divides a shape or design into two parts. Can be found using: A mirra Folding Counting on a grid Section
Moore Catholic High School Math Department
Moore Catholic High School Math Department Geometry Vocabulary The following is a list of terms and properties which are necessary for success in a Geometry class. You will be tested on these terms during
Park Forest Math Team. Meet #5. Self-study Packet. Problem Categories for this Meet (in addition to topics of earlier meets):
Park Forest Math Team Meet #5 Self-study Packet Problem Categories for this Meet (in addition to topics of earlier meets): 1. Mystery: Problem solving 2. : Solid (Volume and Surface Area) 3. Number Theory:
Park Forest Math Team. Meet #5. Self-study Packet. Problem Categories for this Meet (in addition to topics of earlier meets):
Park Forest Math Team Meet #5 Self-study Packet Problem Categories for this Meet (in addition to topics of earlier meets): 1. Mystery: Problem solving 2. : Solid (Volume and Surface Area) 3. Number Theory:
Area of Regular Polygons
Area of Regular Polygons Name:_ Find the area of each regular polygon. Leave your answer in simplest (radical) form. If your answer does not have a radical form, then round to the nearest tenth. 8 14.4
MATH-G P- Geometry Formulas Exam not valid for Paper Pencil Test Sessions
MATH-G P- Geometry Formulas Exam not valid for Paper Pencil Test Sessions [Exam ID:2M8EKV 1 A soda can has a diameter of 6 centimeters and a height of 13 centimeters. Which is closest to the surface area
Math 10 Lesson 6 4 Surface Area of Pyramids and Cones
Math 0 esson 6 4 Surface Area of Pyramids and Cones I. esson Objectives: ) Solve problems involving the surface areas of right pyramids and right cones. II. Surface area of a right pyramid A right pyramid
3D Object Unit Review
Name: Class: Date: ID: A 3D Object Unit Review Multiple Choice Identify the choice that best completes the statement or answers the question. 1. A rectangular prism has a volume of 3x 2 + 18x + 24. Its
Attendance Questions: Find the area of each shape. Round your answer to the nearest tenth. 1. An equilateral triangle with edge length 20 cm.
Page 1 of 17 Attendance Questions: Find the area of each shape. Round your answer to the nearest tenth. 1. An equilateral triangle with edge length 20 cm. Page 1 of 17 Page 2 of 17 2. A regular hexagon
Understand the concept of volume M.TE Build solids with unit cubes and state their volumes.
Strand II: Geometry and Measurement Standard 1: Shape and Shape Relationships - Students develop spatial sense, use shape as an analytic and descriptive tool, identify characteristics and define shapes,
TEST REVIEW: UNIT 8 Surface Area 2018
Class: Date: TEST REVIEW: UNIT 8 Surface Area 2018 Find the area. The figure is not drawn to scale. 1. 5. Find the area. All lengths are in centimeters. Round answer to the nearest tenth. 2. 6. A can of
3. Draw the orthographic projection (front, right, and top) for the following solid. Also, state how many cubic units the volume is.
PAP Geometry Unit 7 Review Name: Leave your answers as exact answers unless otherwise specified. 1. Describe the cross sections made by the intersection of the plane and the solids. Determine if the shape
Practice A Perimeter and Area of Rectangles and Parallelograms
8-1 Practice A Perimeter and Area of Rectangles and Parallelograms Find the perimeter of each figure. 1. 5 ft 2. 3. 13 cm 4 ft 6 cm 3x in. 10x in. 18 ft 38 cm 26x in. Graph and find the area of each figure
Write Euler s Theorem. Solving Problems Using Surface Area and Volume. Figure Surface Area Volume. Cl V 5 1 } 3
CHAPTER SUMMARY Big Idea 1 BIG IDEAS Exploring Solids and Their Properties For Your Notebook Euler s Theorem is useful when finding the number of faces, edges, or vertices on a polyhedron, especially when
CK-12 Geometry: Exploring Similar Solids. Learning Objectives Find the relationship between similar solids and their surface areas and volumes.
CK-12 Geometry: Exploring Similar Solids Learning Objectives Find the relationship between similar solids and their surface areas and volumes. Review Queue a. We know that every circle is similar, is every
Volume of Spheres. A geometric plane passing through the center of a sphere divides it into. into the Northern Hemisphere and the Southern Hemisphere.
9.6 Surface Area and Volume of Spheres Goal Find surface areas and volumes of spheres. Key Words sphere hemisphere A globe is an example of a sphere. A sphere is the set of all points in space that are
Geometry Unit 10 Note Sheets Date Name of Lesson. 1.6 Two-Dimensional Figures Areas of Circles and Sectors
Date Name of Lesson 1.6 Two-Dimensional Figures 11.3 Areas of Circles and Sectors Quiz 11.1 Areas of Parallelograms and Triangles 11.2 Areas of Trapezoids, Rhombi and Kites 11.4 Areas of Regular Polygons
Mathematics 1201 Final Examination June 2013
DO NOT OPEN THIS EXAMINATION PAPER UNTIL YOU ARE TOLD BY THE SUPERVISOR TO BEGIN Mathematics 20 Final Examination June 20 Student Name: Teacher Name: Total Value: 00 marks Time: Hours. Candidates are required