NAME ______________________________ DATE _______________

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About the Mathematics in This Unit

Dear Family,

Our class is starting a new mathematics unit about geometry and measurement called Prisms and Solids. During this unit, students study volume—the amount of space a 3-D object occupies. They use paper boxes and cubes to develop a strategy for finding the volume of any rectangular prism. Students also find the volume of solids composed of rectangular prisms. They also learn to apply the formulas for volume (V = l × w × h and V = b × h) to find volume. Throughout the unit, students work toward these goals:

Benchmarks/Goals Examples
Find the volume of rectangular prisms, including the use of volume formulas.

The prism is 5 units by 2 units by 3 units. What is the volume?

V = l × w × h

V = 5 × 2 × 3 = 10 × 3 = 30

The volume is 30 cubic units.

Find the volume of a solid composed of two rectangular prisms.

Top prism:

base = 2 × 2 = 4

height = 4

volume = 16 cubic units

Bottom prism:

base = 2 × 4 = 8

height = 2

volume = 16 cubic units

A solid shape made of cubes shows the height, width, and length of the object. d

Volume of solid is 32 cubic units.


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Table of Contents

Investigations 3 in Number, Data, and Space®, Student Activity Book Unit 1 Puzzles, Clusters, and Towers Unit 2 Prisms and Solids Unit 3 Rectangles, Clocks, and Tracks Unit 4 How Many People and Teams? Unit 5 Temperature, Height, and Growth Unit 6 Between 0 and 1 Unit 7 Races, Arrays, and Grids Unit 8 Properties of Polygons