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
|
|
- Sheryl Charles
- 6 years ago
- Views:
Transcription
1 . 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 to build a skyscraper and creates this model to help him plan. Carlos believes that the upper part of the building has a greater volume than the lower part of the building. Explain whether or not he is correct. How can this help you find the volume of the entire model? What is this volume? in. Q 6A
2 Partner Talk Share your thinking while you work. Get Started or Repeat for Each Round Get paper and a pencil. Put in a bag. Choose a, b, c, or d. Pick two tiles if your group has only two students. To find your job, find the number that matches the tile you chose. Do the jobs listed below in order. Work with your team to determine how the solid figure can be divided into two more familiar shapes. Find the volume of one of the familiar shapes. Find the volume of the second familiar shape. Find the total volume of the solid figure. a b 5 ft ft c 9 m m 7 m 7 m d If you have more time Choose a or c. Find more than one way to divide the solid figure into two familiar shapes. Calculate the volume of the figure both ways. Center Activity H
3 Partner Talk Share your thinking while you work. Get Started or Repeat for Each Round Get paper and a pencil. Put in a bag. Choose a, b, c, or d. Pick a tile. Pick two tiles if your group has only two students. Do the jobs listed below in order. To find your job, find the number that matches the tile you chose. Work with your team to determine where lines can be drawn to divide the given figure into two or more familiar parts. Work with your team to find the volume of one of the familiar parts. Work with your team to find the volume of the remaining part or parts. Work with your team to find the total volume of the original irregular solid. a 7 in. b m 7 in. 0 in. c d 8 ft ft ft If you have more time Choose a, b, c or d. Discuss whether or not the irregular solid could have been divided into familiar parts in a different way. Center Activity HH
4 Combining Volumes Reteaching To find the volume of a solid made up of familiar parts, find the volume of each part and add the volumes. Step : To find the volume of the figure at the right, separate the solid into two rectangular prisms. (See the dotted line in the figure.) 5 ft ft Prism A Prism B ft Step : Use the formula Volume of Prism A Volume of Prism B V = w h to find the volume of each prism. V = 7 = 8 ft V = = 6 ft Step : Add the volumes The volume of the solid is = ft. of each prism.. Show two ways of dividing the given solid into two rectangular solids.. Find the volume of the rectangular solid shown below. Show your work. cm R 6A
5 Combining Volumes For through, find the volume of each solid figure. Practice. 9 in. 9 in.. ft ft 5 ft. 0 cm. 7 in. 0 cm 0 cm 5. Paul wants to build this model with clay, but he does not know how many cubic centimeters of clay to purchase. How much clay should he purchase? A C 0 B D 9 6. Ashley is stacking two boxes on a shelf. The bottom box measures 6 inches 5 inches 5 inches. The top box is a cube with one edge measuring inches. What is the volume of this stack? Explain how you found your answer. 9 cm P 6A
6 Volume of Solids. Jim has a box in the shape of a rectangular prism. The area of the base of the box is 8 square inches. The volume of the box is cubic inches. Let h = the height of Jim s box. Write and solve an equation you can use to find the height of Jim s box. Enrichment. The volume of a rectangular prism is 70 cubic centimeters. The height of the prism is 5 centimeters. What could the length and width of the prism be? Explain your solution strategy.. A prism has a volume of 5 cubic feet. The width of the prism is 8 feet. Could this prism be a cube? Why or why not? For and 5, draw two solids that have a combined volume of 7 in. Label the dimensions of each drawing.. Rectangular Prism A 5. Cube A Rectangular Prism B Rectangular Prism B Combined volume Combined volume E 6A
7 Combining Volumes Teaching Tool 7 TT 7
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
More informationSurface 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
More information11.6 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
More informationUnit 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
More informationSurface 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
More informationMATH-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
More informationFinding 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
More informationLesson 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,
More informationSurface Area and Volume
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. 1. 2. unit cubes 3. 4. unit cubes unit cubes unit
More informationMATH-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
More informationDesigning Rectangular Boxes
Designing Rectangular Boxes Finding the right box for a product requires thought and planning. A company must consider how much the box can hold as well as the amount and the cost of the material needed
More informationSurface 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
More informationGeometry 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
More informationSTAAR Category 3 Grade 8 Mathematics TEKS 8.6A/8.6B/8.7A. Student Activity 1
Student Activity 1 Work with your partner to answer the following problems. Problem 1: The bases of a cylinder are two congruent that are to each other. The perpendicular distance between the two bases
More informationThree-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
More informationLesson 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
More informationThe 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
More informationLesson 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
More informationSAMPLE TASKS. Concepts Embedded Skills Vocabulary. unit cube. unit cube volume side lengths
Common Core Learning Standards Geometric measurement: understand concepts of volume and relate volume to multiplication and to addition. 5.MD.3a. A cube with side length 1 unit, called a unit cube, is
More informationPractice 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
More informationName 8-6A. 1. What type of quadrilateral is shown below? A Rectangle B Trapezoid C Rhombus D Square. 2. What is true about every rhombus?
Quick Check 1. What type of quadrilateral is shown below? A Rectangle B Trapezoid C Rhombus D Square 2. What is true about every rhombus? A All angles are equal. B All sides are equal. C Exactly one pair
More information11.5 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
More informationObjective: 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
More informationVolume 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
More informationSolid 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
More informationIB Math SL Year 2 Name: Date: 8-3: Optimization in 2D Today s Goals: What is optimization? How do you maximize/minimize quantities using calculus?
Name: Date: 8-3: Optimization in 2D Today s Goals: What is optimization? How do you maximize/minimize quantities using calculus? What is optimization? It involves finding the or value of a function subjected
More informationThe Grade 5 Common Core State Standards for Measurement and Data specify that students should
Measurement and Data Students have learned that measurement is the process of comparing a quantity to a standard unit. In fifth grade, students convert units within a given measurement system and use these
More informationPolygons. 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
More informationTopic 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
More informationEureka 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
More informationG-GMD.1- I can explain the formulas for volume of a cylinder, pyramid, and cone by using dissection, Cavalieri s, informal limit argument.
G.MG.2 I can use the concept of density in the process of modeling a situation. 1. Each side of a cube measures 3.9 centimeters. Its mass is 95.8 grams. Find the density of the cube. Round to the nearest
More informationGrade 5 Unit 2 Volume Approximate Time Frame: 4-5 weeks Connections to Previous Learning: Focus of the Unit: Connections to Subsequent Learning:
Approximate Time Frame: 4-5 weeks Connections to Previous Learning: In third grade, students began working with area and covering spaces. The concept of volume should be extended from area. In fourth grade,
More informationObjective: Use multiplication to calculate volume.
Lesson 4 Objective: Use multiplication to calculate volume. Suggested Lesson Structure Fluency Practice Application Problem Concept Development Student Debrief Total Time (12 minutes) (5 minutes) (33 minutes)
More informationLesson 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.
More informationCCBC Math 081 Geometry Section 2.2
2.2 Geometry Geometry is the study of shapes and their mathematical properties. In this section, we will learn to calculate the perimeter, area, and volume of a few basic geometric shapes. Perimeter We
More informationLesson 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
More informationName Date Class. 1. What is the volume of a cube whose side length measures 21 cm? Show your thinking.
Name Date Class 1. What is the volume of a cube whose side length measures 21 cm? Show your thinking. 2. The volume of a cube is 13,824 mm 3. What is the side length of the cube? Show your thinking. 3.
More informationMath Live Volume: Assessment Task
Volume: Assessment Task Grade: 5 Strand: Shape and Space (Measurement) Outcome: 4 SPECIFIC LEARNER OUTCOMES Shape and Space (Measurement SS4 Demonstrate an understanding of volume by: selecting and justifying
More informationGeometry. Geometry is the study of shapes and sizes. The next few pages will review some basic geometry facts. Enjoy the short lesson on geometry.
Geometry Introduction: We live in a world of shapes and figures. Objects around us have length, width and height. They also occupy space. On the job, many times people make decision about what they know
More informationLesson 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
More informationTEXAS SAMPLE PAGES STUDENT JOURNAL SENIOR AUTHORS PROGRAM CONSULTANTS. contributing authors. James Burnett Calvin Irons
TEXAS PAGES SENIOR AUTHORS James Burnett Calvin Irons PROGRAM CONSULTANTS Diana Lambdin Frank Lester, Jr. Kit Norris contributing authors Debi DePaul Beth Lewis Peter Stowasser Allan Turton STUDENT JOURNAL
More informationSTAAR Category 3 Grade 7 Mathematics TEKS 7.8A/7.9A. Student Activity 1. Problem 1: The height of a prism is the distance between the two.
Student Activity 1 Work with your partner to answer the following questions. Problem 1: The height of a prism is the distance between the two. The height of a pyramid is the distance from the vertex the
More informationReal-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
More informationPolygon 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
More informationInvestigate Understand Volume
LESSON 11.6 Progress to Algebra Investigate Understand Volume FOCUS COHERENCE RIGOR LESSON AT A GLANCE F C R Focus: Common Core State Standards 5.MD.C.3b Recognize volume as an attribute of solid figures
More informationStudy 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
More informationName: 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:
More information9.2. Formulas for Volume. Are You Ready? Lesson Opener Making Connections. Resources. Essential Question. Texas Essential Knowledge and Skills
9.2 Formulas for Volume? Essential Question How can you use formulas to find the volume of rectangular prisms? How can you use formulas to find the volume of rectangular prisms? Lesson Opener Making Connections
More informationClasswork. 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
More informationAdditional 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
More informationc. 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
More informationGeometry 2: 2D and 3D shapes Review
Geometry 2: 2D and 3D shapes Review G-GPE.7 I can use the distance formula to compute perimeter and area of triangles and rectangles. Name Period Date 3. Find the area and perimeter of the triangle with
More informationMD5-26 Stacking Blocks Pages
MD5-26 Stacking Blocks Pages 115 116 STANDARDS 5.MD.C.4 Goals Students will find the number of cubes in a rectangular stack and develop the formula length width height for the number of cubes in a stack.
More informationSolving 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
More informationUnit 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
More informationMATH-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
More informationVolume 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
More informationAbout 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
More informationClasswork. 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
More informationSurface 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
More informationModule 5 Key Concepts
Module 5 Key Concepts 1. You need to be able to find the area of rectangles, parallelograms, and triangles using their formulas. 4 in. 8 cm 6 cm 5 cm 4 cm 5 cm 9 in. 12 cm rectangle 2 sets of parallel
More information1. 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
More informationLesson 26: Volume of Composite Three-Dimensional Objects
Lesson 26: Volume of Composite Three-Dimensional Objects Student Outcomes Students compute volumes of three-dimensional objects composed of right prisms by using the fact that volume is additive. Lesson
More informationSect 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.
More informationArea. Domain 4 Lesson 25. Getting the Idea
Domain 4 Lesson 5 Area Common Core Standard: 7.G.6 Getting the Idea The area of a figure is the number of square units inside the figure. Below are some formulas that can be used to find the areas of common
More information3. 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
More informationMathematics Success Grade 6
Mathematics Success Grade 6 T683 [OBJECTIVE] The student will determine the volume of rectangular prisms with fractional edge lengths and solve problems in mathematical and real-world situations. [PREREQUISITE
More informationFSA 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
More informationVolume of Triangular Prisms and Pyramids. ESSENTIAL QUESTION How do you find the volume of a triangular prism or a triangular pyramid?
? LESSON 10.2 ESSENTIAL QUESTION How do you find the volume of a triangular prism or a triangular pyramid? Finding the Volume of a Triangular Prism The volume V of a prism is the area of its base B times
More informationSurface Area of Triangular Prisms - Nets
U2B L6: Students will determine the surface area of a triangular prism Surface Area of Triangular Prisms - Nets Surface area - the area of all the faces of the prism Triangular prism - made up of three
More information7.RP.A.3: Error. Regents Exam Questions 7.RP.A.3: Error (120)(54) (120)(54) (130)(60) (130)(60)
Regents Exam Questions 7.RP.A.3: Error www.jmap.org Name: 7.RP.A.3: Error 1 The groundskeeper is replacing the turf on a football field. His measurements of the field are 130 yards by 60 yards. The actual
More information6th 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
More informationLesson 9. Three-Dimensional Geometry
Lesson 9 Three-Dimensional Geometry 1 Planes A plane is a flat surface (think tabletop) that extends forever in all directions. It is a two-dimensional figure. Three non-collinear points determine a plane.
More informationISBN Copyright 2015 The Continental Press, Inc.
TABLE OF CONTENTS Introduction 3 Format of Books 4 Suggestions for Use 7 Annotated Answer Key and Extension Activities 9 Reproducible Tool Set 175 ISBN 978-0-8454-7911-7 Copyright 2015 The Continental
More information11.4 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
More informationSolving Volume Problems. ESSENTIAL QUESTION How do you find the volume of a figure made of cubes and prisms?
L E S S O N 9.5 Solving Volume Problems ESSENTIAL QUESTION How do you find the volume of a figure made of cubes and prisms? Volume of a Triangular Prism The formula for the volume of a rectangular prism
More informationLesson 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
More informationSomeone else might choose to describe the closet by determining how many square tiles it would take to cover the floor. 6 ft.
Areas Rectangles One way to describe the size of a room is by naming its dimensions. So a room that measures 12 ft. by 10 ft. could be described by saying its a 12 by 10 foot room. In fact, that is how
More informationApplications. 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
More information12-7 Volume of Pyramids, Cones, and Spheres
1. 6. 2. 115.5 in 3 7. 400 mm 3 3. 245.6 mm 3 8. 392.7 ft 3 74.2 cm 3 4. 6.7 ft 3 9. 1436.8 yd 3 5. Amber purchased a necklace that contained an 8 millimeter diameter round pearl. Find the volume of the
More informationGrade 5 Unit 2 Volume Approximate Time Frame: 4-5 weeks Connections to Previous Learning: Focus of the Unit: Connections to Subsequent Learning:
Approximate Time Frame: 4-5 weeks Connections to Previous Learning: In third grade, students began working with area and covering spaces. The concept of volume should be extended from area. In fourth grade,
More informationRectangular Box vs. Cube
A rectangular box is 4 centimeters longer and 3 centimeters narrower than a certain cube. The rectangular box and the cube have equal heights and equal surface areas. Which box holds the most centimeter
More informationRelate volume to the operations of multiplication and addition and solve real world and mathematical problems involving volume. (5.MD.
General Information Lesson Parts & Duration otal Duration: 1 hour Volume of Geometric Solids: Introduction to geometric vocabulary and the formula for finding the volume of right rectangular prisms Subject(s)
More informationVolume 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
More informationTiling 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
More informationAdditional 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
More informationStudy Guide for the Instructional Unit 2 Test (Fractions, Decimals and Percent)
Name: Block: Date: Study Guide for the Instructional Unit Test (Fractions, Decimals and Percent) Directions: Read each question carefully. Choose the best answer, or answers, for each question. Work with
More informationWhen discussing 3-D solids, it is natural to talk about that solid s Surface Area, which is the sum of the areas of all its outer surfaces or faces.
Lesson 3 Lesson 3, page 1 of 10 Glencoe Geometry Chapter 11. Nets & Surface Area When discussing 3-D solids, it is natural to talk about that solid s Surface Area, which is the sum of the areas of all
More informationNumber Sense. I CAN DO THIS! Third Grade Mathematics Name. Problems or Examples. 1.1 I can count, read, and write whole numbers to 10,000.
Number Sense 1.1 I can count, read, and write whole numbers to 10,000. 1.2 I can compare and order numbers to 10,000. What is the smallest whole number you can make using the digits 4, 3, 9, and 1? Use
More informationAnswers 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
More informationEnd-of-Module Assessment Task
Name Date 1. The juice box pictured below is 4 inches high, 3 inches long, and 2 inches wide. a. In the grid above, the distance between grid lines represents one inch. Use the grid paper to sketch the
More informationFind 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
More informationChapter 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.
More informationLength, Width, and Depth
Length, Width, and Depth Deepening Understanding of Volume 1 WARM UP Determine the least common multiple of the numbers in each pair. 1., 10. 3, 8 3. 6, 1 LEARNING GOALS Determine the volume of right rectangular
More informationApplications. 24 Filling and Wrapping. In Exercises 1 3, rectangular prisms are made using 1-inch cubes.
Applications In Exercises 3, rectangular prisms are made using -inch cubes. a. Find the length, width, and height of each prism. b. Find the amount of material needed to make a box for each prism. c. Find
More informationA 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 :
More information2. 4 m. 6 in. 4 m 4 m. 5. the amount of topsoil needed to put a 2 in. thick layer on the top of a square garden
6 Find the surface area and volume.. in.. 4 m. 5 in. 6 in. 4 m 4 m 0 yd 6 yd 6 yd SA = SA = SA = Choose the most appropriate measure. Write perimeter, surface area, or volume. 4. the distance around the
More informationGeorgia Department of Education FIFTH GRADE MATHEMATICS UNIT 6 STANDARDS
Dear Parents, FIFTH GRADE MATHEMATICS UNIT 6 STANDARDS We want to make sure that you have an understanding of the mathematics your child will be learning this year. Below you will find the standards we
More informationSection A Solids Grade E
Name: Teacher Assessment Section A Solids Grade E 1. Write down the name of each of these 3-D shapes, (i) (ii) (iii) Answer (i)... (ii)... (iii)... (Total 3 marks) 2. (a) On the isometric grid complete
More informationGeometry 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.
More information