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?
What is the height of the prism?
Answers
GPT-4o mini
The volume \( V \) of a rectangular prism can be calculated using the formula:
\[
V = \text{Base Area} \times \text{Height}
\]
In this case, we know that:
- The volume \( V = 156 \) cubic centimeters
- The base area = 12 square centimeters
We need to find the height \( h \) of the prism. We can rearrange the formula to solve for height:
\[
h = \frac{V}{\text{Base Area}}
\]
Substituting the known values into the equation:
\[
h = \frac{156 \, \text{cm}^3}{12 \, \text{cm}^2}
\]
Calculating the height:
\[
h = 13 \, \text{cm}
\]
Therefore, the height of the prism is \( \boxed{13} \) centimeters.
\[
V = \text{Base Area} \times \text{Height}
\]
In this case, we know that:
- The volume \( V = 156 \) cubic centimeters
- The base area = 12 square centimeters
We need to find the height \( h \) of the prism. We can rearrange the formula to solve for height:
\[
h = \frac{V}{\text{Base Area}}
\]
Substituting the known values into the equation:
\[
h = \frac{156 \, \text{cm}^3}{12 \, \text{cm}^2}
\]
Calculating the height:
\[
h = 13 \, \text{cm}
\]
Therefore, the height of the prism is \( \boxed{13} \) centimeters.