Question

Question
Use the image to answer the question.

An illustration shows a bench in the shape of a rectangular prism. The length measures 54 inches, the width measures 17 inches, and the height measures 18 inches.

Find the volume of the storage bench whose dimensions are 17 in. × 54 in. × 18 in.

(1 point)
Responses

16,524 in.3
16,524 in. cubed

89 in.3
89 in. cubed

15,606 in.3
15,606 in. cubed

918 in.3

Answer 1

To find the volume \( V \) of a rectangular prism, you can use the formula:

\[
V = \text{length} \times \text{width} \times \text{height}
\]

For the storage bench with the given dimensions:
- Length = 54 inches
- Width = 17 inches
- Height = 18 inches

Now, plug in the values:

\[
V = 54 \, \text{in} \times 17 \, \text{in} \times 18 \, \text{in}
\]

Calculating step-by-step:

1. First, calculate \( 54 \times 17 \):

\[
54 \times 17 = 918
\]

2. Then multiply that result by the height (18 inches):

\[
918 \times 18 = 16,524
\]

So, the volume of the storage bench is:

\[
V = 16,524 \, \text{in}^3
\]

The correct response is:

**16,524 in.³** (or **16,524 in. cubed**)