A landscaper is preparing a new rectangular garden planter bed. The planter bed is 8 feet … — Armed Services Vocational Aptitude Battery (ASVAB)

A landscaper is preparing a new rectangular garden planter bed. The planter bed is $8$ feet long, $3$ feet wide, and $24$ inches deep. How many cubic feet of soil are needed to completely fill the planter bed?

A
$24$
B
$44$
$48$ Answer
D
$576$

Answer

The correct volume is

48

cubic feet.

The correct answer accurately converts the depth to

2

feet before applying the volume formula. Multiplying the uniform dimensions (

8 \text{ ft} \times 3 \text{ ft} \times 2 \text{ ft}

) yields a total of

48

cubic feet.

Step-by-Step Solution

Convert the depth from inches to feet so all units match.

24 \text{ inches} \div 12 \text{ inches/foot} = 2 \text{ feet}

Volume calculations require all dimensions to be in the same unit of measurement (feet, since the answer asks for cubic feet).

Calculate the volume of the rectangular planter bed using the formula

V = L \times W \times H

8 \text{ feet} \times 3 \text{ feet} \times 2 \text{ feet} = 48 \text{ cubic feet}

Multiplying the length, width, and depth together gives the total 3D capacity of a rectangular container.

Key Concept

To find the volume of a rectangular prism, ensure all measurements are in the same unit, then multiply the length, width, and height.

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Key Concept

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