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Chapter 1: Q12. (page 30)

BOXES A cardboard box is 32 inches long, 22 inches wide, and 16 inches tall. What is the volume of the box?

Short Answer

Expert verified

The volume of the cardboard box is 11264 cubic inches.

Step by step solution

01

Step 1. State the formula.

The formula of volume of a rectangular prism is V=whl, where V is the volume, w is the width, h is the height and l is the length of the prism.

02

Step 2. List the given data.

A cardboard box is 30 inches long, 22 inches wide, and 16 inches tall.

Then, l=32in., w=22in.andh=16in.

03

Step 3. Calculate the volume.

The shape of a cardboard box is that of a rectangular prism.

Put l=32, w=22and h=16in V=whlto get,

V=22脳16脳32=11264

So, V=11264.

04

Step 4. Determine the unit.

Since the units of length, width and height are all given as inches, the unit of volume must be cubic inches.

So, the volume of the cardboard box is 11264 cubic inches.

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