Surface Area and Volume
|
|
|
- Valerie Tyler
- 6 years ago
- Views:
Transcription
1 15 CHAPTER Surface Area and Volume Worksheet 1 Building Solids Using Unit Cubes How many unit cubes are used to build each solid? This is a unit cube unit cubes unit cubes unit cubes unit cubes Reteach 5B 163
2 5. 6. unit cubes unit cubes unit cubes unit cubes 9. Draw three different solids using 7 unit cubes. 10. Draw three different solids using 15 unit cubes. 164 Chapter 15 Lesson 15.1
3 Worksheet 2 Drawing Cubes and Rectangular Prisms Draw these cubes or rectangular prisms on the dot paper without showing the unit cubes. Example 1. Reteach 5B 165
4 Chapter 15 Lesson 15.2
5 4. Complete the drawing of each cube or rectangular prism. 5. Reteach 5B 167
6 6. Draw a rectangular prism that has edges 3 times as long as this prism Chapter 15 Lesson 15.2
7 Worksheet 3 Nets and Surface Area Find the surface area of each cube. Example 4 in. 4 in. 4 in. Area of one square face in. 2 Surface area of the cube in. 2 The surface area is equal to the sum of the areas of the 6 square faces cm 14 in. 7 cm 7 cm 14 in. 14 in. Reteach 5B 169
8 3. 16 cm 16 cm 16 cm Find the surface area of each rectangular prism cm 4 cm 7 cm in. 17 in. 13 in. 17 in. 6 in. 8 in. 170 Chapter 15 Lesson 15.3
9 7. 11 m 2 m 9 m Find the surface area of each triangular prism cm 6 cm 10 cm 8 cm The base of this triangular prism is a right triangle in. 5 in. 5 in. 8 in. 3 in. Reteach 5B 171
10 Solve. Show your work. 10. A rectangular cupboard measures 110 centimeters by 85 centimeters by 40 centimeters. What is the surface area of the cupboard? 11. A rectangular display cabinet measures 96 centimeters by 78 centimeters by 34 centimeters. What is the surface area of the outside of the cabinet if it does not have a cover? 34 cm 78 cm 96 cm 12. A rectangular bedroom measures 12 feet by 8 1_ feet by 7 feet. The rectangular 2 door in the bedroom measures 2 feet by 6 1_ feet. Joanne decides to paint the 2 walls of the room pink. Find the surface area of the walls in the room. 172 Chapter 15 Lesson 15.3
11 Worksheet 4 Understanding and Measuring Volume These solids are formed by stacking 1-centimeter cubes. Find the volume of each solid Volume cm 3 Volume cm Volume cm 3 Volume cm Volume cm 3 Volume cm Reteach 5B 173 Volume cm 3 Volume cm 3
12 These solids are built using unit cubes. Find the volume of each solid. Then compare the volumes and fill in the blanks. Example A B Volume 17 cubic units Volume 10 cubic units Solid A has a larger volume than solid B. These solids are built using 1-inch cubes. Find the volume of each solid. Then compare their volumes and fill in the blanks. 9. C Volume in. 3 Volume in. 3 Solid has a smaller volume than solid. D 174 Chapter 15 Lesson 15.4
13 These solids are built using 1-foot cubes. Find the volume of each solid. Then compare their volumes and fill in the blanks. 10. E F Volume ft 3 Volume ft 3 Solid has a larger volume than solid. These solids are built using 1-centimeter cubes. Find the volume of each solid. Then compare their volumes and fill in the blanks. 11. G H Length cm Length cm Width cm Width cm Height cm Height cm Volume cm 3 Volume cm 3 Solid has a larger volume than solid. Reteach 5B 175
14 These solids are built using 1-meter cubes. Find the volume of each solid. Then compare their volumes and fill in the blanks. 12. K M Length m Length m Width m Width m Height m Height m Volume m 3 Volume m 3 Solid has a smaller volume than solid. 176 Chapter 15 Lesson 15.4
15 Worksheet 5 Volume of a Rectangular Prism and Liquid Find the volume of each rectangular prism or cube cm 18 cm 27 cm 8 cm 8 cm 35 cm Volume Volume m Volume 13 m 13 m 38 m Volume 20 m 15 m Reteach 5B 177
16 in. 48 in. 19 in. 9 in. 9 in. 9 in. Volume Volume ft Volume 18 ft 34 ft 15 ft Volume 15 ft 15 ft 178 Chapter 15 Lesson 15.5
17 Solve. Show your work. Example Steven fi lls a rectangular container measuring 17 centimeters by 14.5 centimeters by 12 centimeters with orange juice. How many liters and milliliters of orange juice are there in the container? Volume of orange juice in the container 17 cm 14.5 cm 12 cm 2,958 cm 3 2,958 ml 2 L 958 ml 12 cm The capacity of a container is the liquid volume of the container. 17 cm 14.5 cm 9. The base of a miniature rectangular fi sh tank measures 8 centimeters by 4.5 centimeters. The height of the tank is 6 centimeters. Find the capacity of the tank in liters and milliliters. 6 cm 8 cm 4.5 cm Reteach 5B 179
18 10. A rectangular container measures 6 centimeters by 3.5 centimeters by 12 centimeters. It is completely fi lled with water. How many liters and milliliters of water are there in the container? 12 cm 6 cm 3.5 cm 11. A rectangular box measures 15 centimeters by 9 centimeters by 13 centimeters. Shannon uses the box to mix glue for her project. She fi lls the entire box with glue. How many liters and milliliters of glue are there in the box? 13 cm 15 cm 9 cm 180 Chapter 15 Lesson 15.5
19 12. A rectangular container is 1_ -fi lled with water. How much water is needed 2 to fi ll the container? After the container is fi lled, how much water must be poured out so that the container is 1_ 3 full? 8 cm 15 cm 12 cm 13. A tank is 1_ -fi lled with water. Some of the water is then poured into 8 small 2 containers each with a capacity of 27 cubic centimeters. The tank is now 1_ 4 full. What is the capacity of the tank? Reteach 5B 181
20 14. A swimming pool, 25 meters wide, 50 meters long, and 12 meters deep, is 2_ -fi lled with water. Its cross section is as shown below. How much water 3 must be drained off so that the water level falls to 5 meters? 9 m 5 m 5 m 40 m 5 m 3 m 182 Chapter 15 Lesson 15.5
Surface Area and Volume
15 CHAPTER Surface Area and Volume Lesson 15.1 Building Solids Using Unit Cubes How many unit cubes are used to build each solid? 1. 2. unit cubes unit cubes Extra Practice 5B 115 3. unit cubes 4. 5. unit
Surface Area and Volume
Name: Chapter Date: Surface Area and Volume Practice 1 Building Solids Using Unit Cubes Find the number of unit cubes used to build each solid. Some of the cubes may be hidden. 1. 2. unit cubes 3. 4. unit
Surface Area and Volume
14 CHAPTER Surface Area and Volume Lesson 14.1 Building Solids Using Unit Cubes How many unit cubes are used to build each solid? 1. unit cubes 2. unit cubes Extra Practice 5B 121 3. unit cubes 4. 5. unit
Houston County School System Mathematics
Student Name: Teacher Name: Grade: 6th Unit #: 5 Unit Title: Area and Volume Approximate Start Date of Unit: Approximate End Date (and Test Date) of Unit: The following Statements and examples show the
Real-World Problems: Surface Area and Volume. Solve word problems about the volume of rectangular prisms.
12.4 Real-World Problems: Surface Area and Volume Lesson Objective Solve problems involving surface area and volume of prisms. Learn Solve word problems about the volume of rectangular prisms. A rectangular
Find The Volume Of A Right Rectangular Prism - Step-by-Step Lesson
Find The Volume Of A Right Rectangular Prism - Step-by-Step Lesson Lesson 1 Rectangular Prism Problem A swimming pool is 10m long, 8m wide and 4m deep. Allen wants to know the volume of the swimming pool
The surface area of a solid figure is the sum of the areas of its surfaces. To help you see all the surfaces of a solid figure, you can use a net.
The surface area of a solid figure is the sum of the areas of its surfaces. To help you see all the surfaces of a solid figure, you can use a net. A net is the pattern made when the surface of a solid
Three-Dimensional Figures and Nets
Lesson 11.1 Reteach Three-Dimensional Figures and Nets Solid figures have three dimensions length, width, and height. They can be named by the shapes of their bases, the number of bases, and the shapes
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
Lesson 23: Surface Area
Lesson 23 Lesson 23: Classwork Opening Exercise Calculate the surface area of the square pyramid. Example 1 a. Calculate the surface area of the rectangular prism. Lesson 23: S.142 Lesson 23 b. Imagine
Lesson 4: Volumes of Pyramids and Cones
: Volumes of Pyramids and Cones Learning Targets I can calculate the volumes of pyramids. I can apply the properties of right triangles and trigonometry to find the volume of pyramids Volumes of pyramids
Name 13-6A. 1. Which is the volume of the solid? 2. What is the volume of the solid? A 72 cm 3 B 432 cm 3 C 672 cm 3 D 864 cm 3
. Which is the volume of the solid? Quick Check. What is the volume of the solid? 8 in. 9 in. 8 in. A 96 in B 9 in C 0 in D 6 in 8 in. A 7 B C 67 D 86. Writing to Explain Carlos is an architect. He wants
Lesson 6 Reteach. Surface Area of Prisms. Example. Exercises. 232 in^ tt^^ Find the surface area of the rectangular prism.
Lesson 6 Reteach Surface Area of Prisms T h e s u m of the areas of all the surfaces, or faces, of a three-dimensional shape is the surface area. T h e surface area of a rectangular prism with length f,
Course 1 Unit 5 Practice
Course Unit Practice Lesson -. Attend to precision. Use the Triangle Inequality Property to determine whether a triangle can be formed with the given side lengths in inches. If a triangle can be formed,
Homework. GRADE 5 MODULE 5 Addition and Multiplication with Volume and Area
GRADE 5 MODULE 5 Addition and Multiplication with Volume and Area Homework Video tutorials: http://bit.ly/eurekapusd Info for parents: http://bit.ly/pusdmath 5 GRADE Mathematics Curriculum GRADE 5 MODULE
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
Volume and Surface Area of Rectangular Prisms All Boxed Up
Volume and Surface Area of Rectangular Prisms SUGGESTED LEARNING STRATEGIES: Activating Prior Knowledge, Use Manipulatives, Visualization, Group Presentation, Think/Pair/Share The shape in Figure is a
Surface Area of Solids
Lesson 24 Surface Area of Solids Name: Prerequisite: Use a Net to Find Surface Area Study the example showing how to use a net to find the surface area of a prism. Then solve problems 7. Example Kioshi
Lesson 14.1 Skills Practice
Lesson 14.1 Skills Practice Name Date Cut, Fold, and Voila! Nets Vocabulary Define each term in your own words. 1. geometric solids 2. net 3. prototype 4. edge 5. face 6. vertex Problem Set Sketch and
Unit 4, Lesson 14: Fractional Lengths in Triangles and Prisms
Unit 4, Lesson 14: Fractional Lengths in Triangles and Prisms Lesson Goals Use multiplication and division to solve problems involving fractional areas and lengths in triangles. cubes with fractional edge
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
422 UNIT 12 SOLID FIGURES. The volume of an engine s cylinders affects its power.
UNIT 12 Solid Figures The volume of an engine s cylinders affects its power. 422 UNIT 12 SOLID FIGURES Gas-powered engines are driven by little explosions that move pistons up and down in cylinders. When
Eureka Math. Grade 5, Module 5. Student File_B. Contains Sprint and Fluency, Exit Ticket, and Assessment Materials
A Story of Units Eureka Math Grade 5, Module 5 Student File_B Contains Sprint and Fluency, Exit Ticket, and Assessment Materials Published by the non-profit Great Minds. Copyright 205 Great Minds. No part
Problem Sets. GRADE 5 MODULE 5 Addition and Multiplication with Volume and Area
GRADE 5 MODULE 5 Addition and Multiplication with Volume and Area Problem Sets Video tutorials: http://bit.ly/eurekapusd Info for parents: http://bit.ly/pusdmath 5 GRADE Mathematics Curriculum GRADE 5
CCM6+ Unit 12 Surface Area and Volume page 1 CCM6+ UNIT 12 Surface Area and Volume Name Teacher Kim Li
CCM6+ Unit 12 Surface Area and Volume page 1 CCM6+ UNIT 12 Surface Area and Volume Name Teacher Kim Li MAIN CONCEPTS Page(s) Unit 12 Vocabulary 2 3D Figures 3-8 Volume of Prisms 9-19 Surface Area 20-26
Lesson 6 Reteach. Perimeter of the base = 14. S. A. = area of the 2 bases + lateral area = = 52 m^.
Lesson 6 Reteach Surface Area of Prisms The sum of the areas of all the surfaces, or faces, of a three-dimensional shape is the surface area. Find the surface area of the rectangular prism. The area of
Surface Area and Volume of Solids
Surface Area and Volume of Solids? MODULE 5 LESSON 5. ESSENTIAL QUESTION Nets and Surface Area How can a model help you to solve surface area and volume problems? 6.G. LESSON 5. Volume of Rectangular Prisms
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
For Exercises 2 4, find the volume and the surface area of each closed box.
Applications 1. a. Make a sketch of an open 1-3-5 box. Label the edges of the box. b. Sketch three boxes that have twice the volume of a 1-3-5 box. Label each box with its dimensions. c. Are any of the
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
Volume review. 1. In the diagram below, a right circular cone has a diameter of 8 inches and a height of 12 inches.
Name: ate: 1. In the diagram below, a right circular cone has a diameter of 8 inches and a height of 12 inches. 3. Which diagram represents the figure with the greatest volume? A.... What is the volume
6th Grade Math. Parent Handbook
6th Grade Math Benchmark 3 Parent Handbook This handbook will help your child review material learned this quarter, and will help them prepare for their third Benchmark Test. Please allow your child to
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. Using snap cubes, build a rectangular prism with the following dimensions: a. Length 6 units b. Width 2 units c. Height 3 units
Study Guide Fifth Grade Day 151 Standard(s): 5.MD.3, 5.MD.4, 5.MD.5 5.MD.3: Recognize volume as an attribute of solid figures and understand concepts of volume measurement. a. A cube with side length 1
Engage NY Lesson 15: Representing Three-Dimensional Figures Using Nets
Name: Surface Area & Volume Packet Engage NY Lesson 15: Representing Three-Dimensional Figures Using Nets Classwork Cereal Box Similarities: Cereal Box Differences: Exercise 1 1. Some of the drawings below
A C E. Applications. Applications Connections Extensions
A C E Applications Connections Extensions Applications 1. Suppose that the polygons below were drawn on centimeter grid paper. How many 1-centimeter cubes (some cut in pieces) would it take to cover each
Volume of Rectangular Prisms and Pyramids. Use the formula. Substitute for l and w. Use the formula. Substitute for B and h.
? LESSON 10.1 ESSENTIAL QUESTION Volume of Rectangular Prisms and Pyramids How do you find the volume of a rectangular prism and a rectangular pyramid? Finding the Volume of a Rectangular Prism Remember
Lesson 24: Surface Area
Student Outcomes Students determine the surface area of three-dimensional figures, those that are composite figures and those that have missing sections. Lesson Notes This lesson is a continuation of Lesson
Solving Surface Area Problems 7.G.2.6
? L E S S O N 9.4 Solving Surface Area Problems ESSENTIAL QUESTION Solve real-world and mathematical problems involving surface area of three-dimensional objects composed of cubes and right prisms. How
UNIT 12. Volume and Surface Area CCM6+ Name: Math Teacher: Projected Test Date: Vocabulary 2. Basics of 3-D Figures 3 8
UNIT 12 Volume and Surface Area 2016 2017 CCM6+ Name: Math Teacher: Projected Test Date: Main Concept(s) Page(s) Vocabulary 2 Basics of 3-D Figures 3 8 Volume of Rectangular Prisms and Finding Missing
10.7 Surface Area and Volume of Cylinders
10.7. Surface Area and Volume of Cylinders www.ck12.org 10.7 Surface Area and Volume of Cylinders Introduction The Bean Containers Jillian s grandmother loves to cook. One day in between sewing projects,
Name Homeroom. MSMM2014
1 Name Homeroom MSMM2014 8 cm area = 10 cm area = 10 cm 9 cm area = 7 cm 10 cm area = area = area = 10 cm 10 cm 10 cm MSMM2014 1 Topic: Area of Rectangles and Squares I CAN find the area of rectangles
GEOMETRY. slide #3. 6th Grade Math Unit 7. 6th Grade Unit 7: GEOMETRY. Name: Table of Contents. Area of Rectangles
Name: 6th Grade Math Unit 7 GEOMETRY 2012 10 17 www.njctl.org 1 Table of Contents Area of Rectangles Area of Parallelograms Area of Triangles Area of Trapezoids Mixed Review Area of Irregular Figures Area
Problem Solving Find Unknown Lengths OBJECTIVE Solve problems using the strategy guess, check, and revise. Read the Problem.
LESSON 72 Problem Solving Find Unknown Lengths OBJECTIVE Solve problems using the strategy guess, check, and revise. CC.5.NF.5b Zach built a rectangular deck in his backyard. The area of the deck is 00
About Finish Line Mathematics 5
Table of COntents About Finish Line Mathematics 5 Unit 1: Big Ideas from Grade 4 7 Lesson 1 4.NBT.5, 6 Multiplying and Dividing Whole Numbers [connects to 5.NBT.5, 6] 8 Lesson 2 4.NF.6, 7 Understanding
Answers Investigation 4
Answers Applications 1 4. Patterns 2 and 4 can fold to form closed boxes. Patterns 1 and 3 cannot fold to form closed boxes. 10. Sketch of box and possible net: 5. a. Figures 1 and 2 can be folded to form
Tiling And Filling The Pool Assessment Materials for Student
Tiling And Filling The Pool Assessment Materials for Student You have been hired to design the outside of a tissue box for a new company. The base of the box is 10 inches by 4 inches. The height of the
Topic 13 Practice Test. 1 Name the solid that has only one circular base. A B C D. 2 Which type of solid figure is shown? A B C D
Name: ate: 1 Name the solid that has only one circular base. prism cylinder cone pyramid 2 Which type of solid figure is shown? rectangular prism rectangular pyramid triangular pyramid triangular prism
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
A C E. Answers Investigation 4. Applications. b. Possible answers:
Answers Applications 4. Patterns and 4 can fold to form closed boxes. Patterns and cannot fold to form closed boxes. 5. a. Figures and can be folded to form a closed box. Pattern C cannot. b. Figure :
Volume. 4. A box in the shape of a cube has a volume of 64 cubic inches. What is the length of a side of the box? A in B. 16 in. C. 8 in D.
Name: ate: 1. In the accompanying diagram, a rectangular container with the dimensions 10 inches by 15 inches by 20 inches is to be filled with water, using a cylindrical cup whose radius is 2 inches and
Lesson 26: Volume of Composite Three-Dimensional Objects
Classwork Example 1 Find the volume of the following three-dimensional object composed of two right rectangular prisms. Exercise 1 Find the volume of the following three-dimensional figure composed of
Solid Figures. Name. 22 Topic 18. Reteaching Polyhedrons Prisms
Solid Figures Polyhedrons Prisms Pyramids Reteaching 8- Properties of polyhedrons include vertices, edges, and faces, and base(s). Square Pyramid K Reteaching 8- Not Polyhedrons Cylinder Cone Sphere H
CTB/McGraw-Hill. Trimester 2 Weeks Test ID:
CTB/McGraw-Hill Trimester 2 Weeks 19-22 Test ID: 813432 Page 1 of 14 Developed and published by CTB/McGraw-Hill LLC, a subsidiary of The McGraw-Hill Companies, Inc., 20 Ryan Ranch Road, Monterey, California
Unit E Geometry Unit Review Packet
Unit E Geometry Unit Review Packet Name Directions: Do ALL (A) Questions. Check Your Answers to (A) Questions. If ALL (A) Questions are correct, skip (B) Questions and move onto next I can statement. If
Polygon Practice. E90 Grade 5. Name
Lesson 11.1 Polygon Practice Write the number of sides and the number of angles that each polygon has. Then match each description to one of the polygons drawn below. Label the polygon with the exercise
c. If each square foot of sod costs 65 cents, how much will she have to pay to cover her yard?
Name Date 1. Use your ruler to draw a rectangle that measures 4 1 by 2 3 inches, and find its area. 2 4 2. Heather has a rectangular yard. She measures it and finds out it is 24 1 feet long by 12 4 feet
Classwork. Opening Exercise. Example 1. Which prism will hold more 1 in. 1 in. 1 in. cubes? 12 in. 6 in. 4 in. 5 in. 10 in. 8 in.
Classwork Opening Exercise Which prism will hold more 1 in. 1 in. 1 in. cubes? 6 in. 12 in. 10 in. 4 in. 8 in. 5 in. How many more cubes will the prism hold? Example 1 A box with the same dimensions as
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)
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
Additional Practice. Name Date Class. 1. Find the area and the perimeter of each of the four shapes below. a. b. c. d. Covering and Surrounding
Additional Practice. Find the area and the perimeter of each of the four shapes below. Investigation a. b. c. d. 52 cm 6 cm 52 cm 34 cm 93 Investigation 2. Susan is helping her father measure the living
3.1 Deepening Understandings of Volume Parts 1_2.notebook. September 05, 2018 M Jun 27 10:28 AM
M1 115 Jun 27 10:28 AM 1 Learning Targets Jun 20 10:53 AM 2 9/4 /18 # Glue pages 1 & 2 into notebook M1: 3.1 Deepening Understanding of Volume Essential Question: How can you use what you know to calculate
PYRAMIDS AND CONES WHAT YOU LL LEARN. Ø Finding the surface areas and volume of pyramids Ø Finding the surface areas and volume of cones
PYRAMIDS AND CONES A pyramid is a solid with a polygonal base and triangular lateral faces that meet at a vertex. In this lesson, you will work with regular pyramids. The base of a regular pyramid is a
Volume of Prisms and Cylinders
Name Date Teacher Practice A Volume of Prisms and Cylinders Find the volume of each figure to the nearest tenth of a unit. Prism: V = Bh. Cylinder: V = π 2 r h. Use 3.14 for π. 1. 2. 3. 4. 5. 6. 7. 8.
Course 2 Unit 4 Practice
Course 2 Unit 4 Practice Lesson 13-1 1. Model with mathematics. Two angles are supplementary. One measures (3x)8 and the other measures 518. a. Draw a pair of adjacent, supplementary angles and label them
10-1. Enrichment. You Can Count On It!
10-1 You Can Count On It! How many triangles are there in the figure at the right? How many parallelograms? When counting shapes in a figure like this, you usually have to think of different sizes. There
Surface Area and Volume
8 Surface Area and Volume 8. Three-Dimensional Figures 8. Surface Areas of Prisms 8. Surface Areas of Pyramids 8. Volumes of Rectangular Prisms I petitioned my owner for a doghouse with greater volume.
Polygons. 5 sides 5 angles. pentagon. Name
Lesson 11.1 Reteach Polygons A polygon is a closed plane figure formed by three or more line segments that meet at points called vertices. You can classify a polygon by the number of sides and the number
The Geometry of Solids
CONDENSED LESSON 10.1 The Geometry of Solids In this lesson you will Learn about polyhedrons, including prisms and pyramids Learn about solids with curved surfaces, including cylinders, cones, and spheres
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
11.4 Volume of Prisms and Cylinders
11.4 Volume of Prisms and Cylinders Learning Objectives Find the volume of a prism. Find the volume of a cylinder. Review Queue 1. Define volume in your own words. 2. What is the surface area of a cube
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
6.G.1. SELECTED RESPONSE Select the correct answer. CONSTRUCTED RESPONSE. 3. What is the area of this shape?
6.G.1 SELECTED RESPONSE Select the correct answer. 3. What is the area of this shape? 1. What is the area of the triangle below? 5.65 cm 10.9375 cm 11.5 cm 1.875 cm 48 in 144 in 96 in 88 in 4. What is
Objective: Find the total volume of solid figures composed of two nonoverlapping
Lesson 6 Objective: Find the total volume of solid figures composed of two nonoverlapping Suggested Lesson Structure Fluency Practice Application Problem Concept Development Student Debrief Total Time
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
Lesson 10 ~ Three-Dimensional Figures
Lesson 10 ~ Three-Dimensional Figures Name a solid that fits each description. 1. a can of beans 2. a shoe box 3. a pyramid with five lateral faces 4. a solid with six vertices 5. a prism with bases shaped
CHAPTER 12. Extending Surface Area and Volume
CHAPTER 12 Extending Surface Area and Volume 0 1 Learning Targets Students will be able to draw isometric views of three-dimensional figures. Students will be able to investigate cross-sections of three-dimensional
MATH-8 Review Surface Area 3D 2018 N Exam not valid for Paper Pencil Test Sessions
MATH-8 Review Surface Area 3D 2018 N Exam not valid for Paper Pencil Test Sessions [Exam ID:J42YVD 1 What is the surface area of the rectangular prism shown? A 48 cm 2 B 24 cm 2 C 52 cm 2 D 26 cm 2 2 A
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
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
Classwork. Opening Exercise. Example 1: Using Ratios and Unit Rate to Determine Volume. Determine the volume of the aquarium. 12 in. 10 in. 20 in.
Classwork Opening Exercise Determine the volume of this aquarium. 12 in. 20 in. 10 in. Example 1: Using Ratios and Unit Rate to Determine Volume For his environmental science project, Jamie is creating
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
11.5 Start Thinking Warm Up Cumulative Review Warm Up
11.5 Start Thinking Consider the stack of coins shown in Figure A. What is the volume of the cylinder formed by the stack of coins? The same coins are stacked as shown in Figure B. What is the volume of
Applications. 38 Filling and Wrapping
Applications 1. Cut a sheet of paper in half so you have two identical half-sheets of paper. Tape the long sides of one sheet together to form a cylinder. Tape the short sides from the second sheet together
Study Guide Surface Area & Volume SOL 7.5
Study Guide Surface Area & Volume SOL 7.5 What do I need to know for the upcoming assessment? Calculate surface area and volume for a given rectangular prism or cylinder; Find a missing sides when given
NAME DATE PERIOD. If the fish tank shown is 80% filled with water, how much water is in the tank? 6.G.2, MP 1
Lesson 1 Multi-Step Example Multi-Step Problem Solving If the fish tank shown is 80% filled with water, how much water is in the tank? 6.G.2, MP 1 A 5,772 cubic inches B 4,617.6 cubic inches C 1,154.4
8-3. A butterfly house at a local zoo is a rectangular prism with dimensions 20' 15' 10' and contains 625 butterflies.
8-1. Compute the volume of the figures below. 8-2. Carefully draw the prisms below onto your paper. One way to do this is to draw the two bases first and then to connect the corresponding vertices of the
TEACHER GUIDE INCLUDES. Tier 1 Tier 2 Tier 3 Correlations. Diagnostic Interviews for Every Common Core Cluster
TEACHER GUIDE FOR THE COMMON CORE STATE STANDARDS FOR MATHEMATICS 3 INCLUDES Tier Tier Tier 3 Correlations Diagnostic Interviews for Every Common Core Cluster Tier Lessons, Tier Prerequisite Skills, and
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
Review: Geometry. Area Composite Figures Surface Area Volume Fractional Edge Length 3-D Figures and Nets Coordinate Graphing
Review: Geometry Area Composite Figures Surface Area Volume Fractional Edge Length 3-D Figures and Nets Coordinate Graphing Perimeter: the distance around a polygon. Area: the number of square units needed
Finding the Volume of Solids
S E S S I O N 1. 5 A Finding the Volume of Solids Math Focus Points Using formulas to find the volume of rectangular prisms Finding the volume of a solid composed of two rectangular prisms Today s Plan
STAAR Category 3 Grade 7 Mathematics TEKS 7.9D. Student Activity 1
Student Activity 1 Work with your partner to answer the following questions. Problem 1: A triangular prism has lateral faces and faces called bases. The bases are in the shape of a. The lateral faces are
12-4 Volumes of Prisms and Cylinders. Find the volume of each prism.
Find the volume of each prism. 3. the oblique rectangular prism shown at the right 1. The volume V of a prism is V = Bh, where B is the area of a base and h is the height of the prism. If two solids have
9 ft. 10 cm. 8 ft. 9 cm. 17 cm. 10 cm. 8 cm. 15 cm. 18 m 16 m. 14 m. Geometry: Homework Problems. Rectangles & Parallelograms
Geometry: Homework Problems Rectangles & Parallelograms Homework Find the area of each figure. 11. 9 ft 15. 8 ft 10 cm 9 cm 17 cm 12. 14 mm 16. The length of a rectangle is 17 m and the width is 5.25 m.
Study Guide and Intervention
NAME DATE PERIOD Study Guide and Intervention Volume of Rectangular Prisms The volume of a solid is the measure of space occupied by it. It is measured in cubic units such as cubic centimeters (cm 3 )
Finding Surface Areas and Volumes of Composite Solids
Finding Surface Areas and Volumes of Composite Solids Recall that the perimeter of a two-dimensional composite figure is the sum of the perimeters of the shapes that make up the figure, minus the lengths
Students construct nets of three dimensional objects using the measurements of a solid s edges.
Student Outcomes Students construct nets of three dimensional objects using the measurements of a solid s edges. Lesson Notes In the previous lesson, a cereal box was cut down to one of its nets. On the
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
Lesson 3: Definition and Properties of Volume for Prisms and Cylinders
: Definition and Properties of Volume for Prisms and Cylinders Learning Targets I can describe the properties of volume. I can find the volume of any prism and cylinder using the formula Area of Base Height.
Three Dimensional Figures. TeacherTwins 2015
Three Dimensional Figures TeacherTwins 2015 Warm Up What is a 2 dimensional figure? What is a three dimensional figure? Draw a picture of each. Using the nets provided, make the following three dimensional