A supply sergeant is reviewing the specifications for a rectangular storage pod. The pod h… — Armed Services Vocational Aptitude Battery (ASVAB)

A supply sergeant is reviewing the specifications for a rectangular storage pod. The pod has a known total volume of $120$ cubic feet. If the pod measures $6$ feet in length and $4$ feet in width, what is the height of the pod in feet?

Answer: 5 feet

Answer

The volume of a rectangular shape is determined by multiplying its length, width, and height (

V = L \times W \times H

). Given a total volume of

120

cubic feet, a length of

6

feet, and a width of

4

feet, the equation becomes

120 = 6 \times 4 \times H

. First, find the area of the base by multiplying the length and width (

6 \times 4 = 24

). Finally, divide the total volume by this base area (

120 \div 24

) to find the missing height, which is

5

feet.

Step-by-Step Solution

Identify the formula for the volume of a rectangular container.

V = L \times W \times H

This standard formula relates the total volume to the object's three dimensions.

Substitute the given values into the formula.

120 = 6 \times 4 \times H

We are given the total volume (

120

), the length (

6

), and the width (

4

Calculate the area of the base by multiplying the length and the width.

6 \times 4 = 24

Simplifying the right side of the equation reduces it to a single multiplication step.

Solve for the height by dividing the total volume by the base area.

120 \div 24 = 5

Isolating

H

provides the missing dimension.

Key Concept

Solving for a missing dimension of a rectangular prism using the volume formula.

Estimated Time:45s

Question

Answer

Step-by-Step Solution

Key Concept

Common Mistakes

Topics

More questions from this topic