Question

The volume of a rectangular prism is 156 cubic centimeters. The base of the prism has an area of 12 square centimeters.

What is the height of the prism?

Enter your answer in the box.

Answer 1

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

\[
\text{Volume} = \text{Base Area} \times \text{Height}
\]

Given that the volume of the prism is 156 cubic centimeters and the area of the base is 12 square centimeters, you can substitute these values into the formula:

\[
156 = 12 \times \text{Height}
\]

To find the height, divide both sides of the equation by 12:

\[
\text{Height} = \frac{156}{12}
\]

Now, calculate the height:

\[
\text{Height} = 13 \text{ centimeters}
\]

Thus, the height of the prism is:

\[
\boxed{13}
\]