Question

Question
Find the volume of a kitchen cabinet measuring 12 inches deep, 36 inches long, and 40 inches tall.(1 point)
Responses

17,280 in.3
17,280 in. cubed

432 in.3
432 in. cubed

1,440 in.3
1,440 in. cubed

88 in.3

Answer 1

To find the volume of the kitchen cabinet, you can use the formula for the volume of a rectangular prism, which is:

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

In this case:

- Length = 36 inches
- Width (depth) = 12 inches
- Height = 40 inches

Calculating the volume:

\[
\text{Volume} = 36 \, \text{inches} \times 12 \, \text{inches} \times 40 \, \text{inches}
\]

First, compute the area of the base:

\[
36 \times 12 = 432 \, \text{inches}^2
\]

Now multiply by the height:

\[
432 \, \text{inches}^2 \times 40 \, \text{inches} = 17,280 \, \text{inches}^3
\]

So the volume of the kitchen cabinet is:

\[
17,280 \, \text{inches}^3
\]

Thus, the correct response is **17,280 in.³** or **17,280 in. cubed**.