Name: Block Score /36 Version: A
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1 Name: _ Block Score /36 Version: A Surface Area & Volume Matching Match the correct term to each of the following descriptions. A term may be used more than once or not at all. a. edge h. net b. face i. surface area c. dimensions j. triangular prism d. right prism k. rectangular prism e. top l. clockwise f. vertex m. counterclockwise g. cylinder 1. (1 point) a two-dimensional figure that when folded creates a 3-D object 2. (1 point) one of the three views required to describe a 3-D object 3. (1 point) a 3-D object with two parallel and congruent circular bases 4. (1 point) a line segment where two faces meet 5. (1 point) a prism that has sides perpendicular to the base of the prism Match the correct term to each of the following descriptions. A term may be used more than once or not at all. a. diameter g. V = (π r 2 ) h b. base h. cube c. height i. V = l w h d. orientation j. V = (base height 2) height of prism e. prism k. cylinder f. volume l. radius 6. (1 point) any face of a prism that shows the named shape of the prism 7. (1 point) a three-dimensional object with two parallel and congruent circular bases 8. (1 point) the amount of space an object occupies 9. (1 point) the perpendicular distance between the two bases of a prism or cylinder 10. (1 point) a line that joins the centre of a circle with any point on its circumference 1
2 Multiple Choice Identify the choice that best completes the statement or answers the question. 11. (1 point) Calculate the surface area of this triangular prism. Diagram is not to scale. a. 772 cm 2 b cm 2 c cm 2 d cm (1 point) Determine the surface area of this prism. a. 340 cm 2 b. 480 cm 2 c. 680 cm 2 d cm 2 2
3 13. (1 point) Determine the surface area of this cylinder. a cm 2 b cm 2 c cm 2 d cm (1 point) The distance between adjacent dots (vertical and horizontal) is 1.5 cm. What would be the surface area of the 3-D object produced by the net below? a. 297 cm 2 b cm 2 c. 198 cm 3 d. 279 cm (1 point) A cylinder has a base area of 166 cm 2 and a volume of cm 3. The height of the prism must be a cm b cm c cm d cm 16. (1 point) A rectangular garage has a volume of 1428 m 3, a height of 6 m and a length of 14 m. What is the width of the garage? a. 18 m b. 23 m c. 17 m d. 19 m 3
4 17. (1 point) A triangular prism has a volume of 450 m 3. If the width of the triangular base is 15 m and the height of the triangular base is 5 m, what is the length of the prism? a. 11 m b. 12 m c. 14 m d. 8 m 18. (1 point) A Toberlone chocolate bar is shaped like a right triangular prism. The triangular ends have a base of 7 cm and a height of 5 cm. What is the volume of the prism if the length is 29 cm? a cm 3 b cm 3 c cm 3 d cm (1 point) A packing crate is a cube with a side measurement of 600 cm. How many smaller boxes will it hold if each smaller box is 120 cm wide, 120 cm high, and 20 cm long? a. 750 b c. 883 d (1 point) Which set of dimensions belongs to a right rectangular prism with a volume of 1496 cm 3? a. 7 cm 22 cm 5 cm c. 9 cm 4 cm 7 cm b. 15 cm 6 cm 23 cm d. 4 cm 17 cm 22 cm Short Answer Show any work and the answer in the space provided. 21. (2 points) A can of oil has a radius of 7.9 cm and a volume of cm 3. Find the height of the can of oil, rounded to the nearest tenth of a centimetre. 22. (2 points) Determine the surface area of this fishtank. 4
5 23. (2 points) Don wants to build a glass greenhouse as shown. How much glass will Don have to order to complete the job? Diagram is not to scale. 24. (2 points) Determine the surface area of this pipe. 5
6 Problem 25. (3 points) Local engineers have designed a new concrete rectangular culvert. How much concrete will be required to build the culvert with its hollow cylindrical core as illustrated below? 6
7 26. (3 points) Part of the area under this ramp serves for storage. Items can be stored only in the unshaded part of the ramp shown in the diagram below. What volume of space is available for storage? Round your final answer to the nearest tenth of a cubic metre of usable space. Explain your answer. 27. (2 points) Sharon built this playhouse. What volume of air will the playhouse hold? Round your answer to the nearest tenth of a cubic metre. 7
8 Surface Area & Volume Answer Section MATCHING 1. ANS: H PTS: 1 2. ANS: E PTS: 1 3. ANS: G PTS: 1 4. ANS: A PTS: 1 5. ANS: D PTS: 1 6. ANS: B PTS: 1 7. ANS: K PTS: 1 8. ANS: F PTS: 1 9. ANS: C PTS: ANS: L PTS: 1 MULTIPLE CHOICE 11. ANS: C PTS: ANS: C PTS: ANS: D PTS: ANS: A PTS: ANS: C PTS: ANS: C PTS: ANS: B PTS: ANS: D PTS: ANS: A PTS: ANS: D PTS: 1 1
9 SHORT ANSWER 21. ANS: 7.4 cm r = 7.9 Area of Base = π r 2 Area of Base = π = Volume = Area of Base h = 7.4 = h PTS: ANS: 5.76 m = 5.76 PTS: ANS: m 2 (Half of the Base) 2 + Height 2 = (Side of Triangle) = (Side of Triangle) m = Side of Triangle The greenhouse will not have a glass floor so the glass required is = m 2 PTS: ANS: cm 2 2πrh = SA 2π818 = The surface area of the pipe is cm 2 PTS: 2 2
10 PROBLEM 25. ANS: Determine the volume of the rectangular prism. V = l w h V = V = 117 The volume of the rectangular prism is 117 m 3. Determine the volume of the cylinder. V = (π r 2 ) h V = (π ) 13 V = The volume of the cylinder is m 3. Volume of concrete required = volume of prism volume of cylindrical space V = V = The volume of concrete required for the culvert is m 3. PTS: ANS: Total space under the ramp V = (height base 2) length of prism V = (4.5 ( ) 2) 3.5 V = Space not usable for storage (shaded area) V = (height base 2) length of prism V = ( ) 3.5 V = 3.08 Space available for storage = total space unusable space = There is 48.9 m 3 available for storage. PTS: 3 3
11 27. ANS: 165 cm = 1.65 m Volume of the right triangular prism V = (base height 2) length of prism V = ( ) 2.6 V = 4.29 Volume of the right rectangular prism V = l w h V = V = 7.28 Total volume = = The total volume of air held by the playhouse is 11.6 m 3. PTS: 2 4
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The radius for a regular polygon is the same as the radius of the circumscribed circle.
Perimeter and Area The perimeter and area of geometric shapes are basic properties that we need to know. The more complex a shape is, the more complex the process can be in finding its perimeter and area.
11.6 Start Thinking Warm Up Cumulative Review Warm Up
11.6 Start Thinking The diagrams show a cube and a pyramid. Each has a square base with an area of 25 square inches and a height of 5 inches. How do the volumes of the two figures compare? Eplain your
Recall: The volume formula for a general cylinder is: (Area of the base) x (height) Find the volume to the nearest tenth
Aim #7: What are the properties of volume of general cylinders? CC Geometry H Do Now: 1) The polygonal region has been divided into triangles. Determine the area of the entire polygon. 12 20 5 9 11 22
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
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
1: #1 4, ACE 2: #4, 22. ACER 3: #4 6, 13, 19. ACE 4: #15, 25, 32. ACE 5: #5 7, 10. ACE
Homework Answers from ACE: Filling and Wrapping ACE Investigation 1: #1 4, 10 13. ACE Investigation : #4,. ACER Investigation 3: #4 6, 13, 19. ACE Investigation 4: #15, 5, 3. ACE Investigation 5: #5 7,
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
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
19.2 Surface Area of Prisms and Cylinders
Name Class Date 19. Surface Area of Prisms and Cylinders Essential Question: How can you find the surface area of a prism or cylinder? Resource Locker Explore Developing a Surface Area Formula Surface
1. Use each diagram to determine the value of the square root. 1 a) 2. Which numbers below are perfect squares? How do you know? b) 1.6 c) 0.
Master 1.16 Extra Practice 1 Lesson 1.1: Square Roots of Perfect Squares 1. Use each diagram to determine the value of the square root. 1 b) 0.16 9 2. Which numbers below are perfect squares? How do you
S3 (3.1) N5 Volume.notebook April 30, 2018
Daily Practice 16.3.2018 Q1. Multiply out and simplify (3x - 2)(x 2-7x + 3) Daily Practice 19.3.2018 Q1. Multiply out and simplify (2x + 3)(x 2 + 7x + 4) Q2. Factorise fully 3x 2-75 Q2. Simplify x 3 (x