Question

The volume of a rectangular prism is 3,060 cubic inches. If the length is 12in and the width is 17in, what is the height? (You do NOT need to include the units in your answer.)

Answer 1

To find the height of the rectangular prism, we can use the formula for the volume of a rectangular prism:

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

We are given the volume (3,060 cubic inches), length (12 inches), and width (17 inches). We need to solve for the height (h).

Plugging in the values we have:

\[
3060 = 12 \times 17 \times h
\]

First, we calculate \(12 \times 17\):

\[
12 \times 17 = 204
\]

Now the equation becomes:

\[
3060 = 204 \times h
\]

To solve for \(h\), we divide both sides by 204:

\[
h = \frac{3060}{204}
\]

Calculating this gives:

\[
h = 15
\]

Therefore, the height is \(15\).