Question

Paul bakes raisin bars in a pan shaped like a rectangular prism. The volume of the pan is 252 cubic inches. The length of the pan is 12 inches, and its width is 1012 inches.

What is the height of the pan?


Enter your answer in the box.


in.

Answer 1

To find the height of the rectangular prism (the baking pan), you can use the formula for the volume of a rectangular prism:

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

Given:
- Volume = 252 cubic inches
- Length = 12 inches
- Width = 10.5 inches (noted that 1012 inches should be interpreted as 10.5 inches)

We need to find the height (h) of the pan. Rearranging the formula gives:

\[
h = \frac{\text{Volume}}{\text{length} \times \text{width}}
\]

Substituting in the values:

\[
h = \frac{252}{12 \times 10.5}
\]

Calculating \( 12 \times 10.5 \):

\[
12 \times 10.5 = 126
\]

Now substitute this back into the height equation:

\[
h = \frac{252}{126}
\]

Now calculate the value:

\[
h = 2
\]

Thus, the height of the pan is:

\[
\boxed{2} \text{ in.}
\]