5-3: Volumes of Right Prisms

Key Concept

The volume of a prism is the number of unit cubes needed to fill the prism. The formula for the volume of a prism is the product of the base area and the height of the prism.

A rectangular prism of length 5, width 4, and height 3 filled with unit cubes.

Each layer contains 5 · 4 cubes There are 3 layers of 20 cubes. The volume of the prism is 3 · 20, or 60 cubic units.

A rectangular prism of length 5, width 4, and height 3 with its bottom base labeled B and shaded.

The volume of a cube is the number of unit cubes needed to fill the cube. The formula for the volume of a cube is the edge length cubed.

A cube with edges of length 3 filled with unit cubes.

Each layer contains 3 · 3 cubes There are 3 layers.

The volume of the cube is 3 · 3 · 3, or 27 cubic units.

Volume = edge length cubed

V 5 s 3


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Table of Contents

Digits, Grade 7, Volume 1, Homework Helper Unit A: Number and Operations Unit B: Expressions, Equations, and Relationships Unit C: Measurement and Geometry Unit D: Proportionality English/Spanish Glossary Formulas Math Symbols Formulas Measures Properties