7th Grade Math

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Volume

PART A B CDE F

Multi-Part

Lesson 1

Addresses

GLE 0706.1.7, GLE 0706.4.3.

558 Volume and Surface Area

Main Idea

Find the volumes of

rectangular and

triangular prisms.

Vocabulary

volume

rectangular prism

triangular prism

Volume of Prisms

1. If you observed the Great Pyramid in Egypt and the Inner Harbor
   and Trade Center in Baltimore from directly above, what geometric
   figures would you see?


2. What is the formula for the area of a square? a rectangle?

The volume of a three-dimensional figure

6 cm

6 cm

2 cm

is the measure of space it occupies. It is

measured in cubic units such as cubic

centimeters (cm^3 ) or cubic inches (in^3 ).

There are

two layers.

The bottom

layer, or base,

has 6 6 or

36 cubes.

It takes 2 layers of 36 cubes to fill the box. So, the volume of the box is

72 cubic centimeters.

The figure above is a rectangular prism. A rectangular prism is a

prism that has rectangular bases.

Volume of a Rectangular Prism

Words The volume V of a rectangular

prism is the product of the length ,

the width w, and the height h. It is

also the area of the base B times

the height h.

Model

w

h

Symbols V = wh or V = Bh  B^ =^ w

V

vv

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