Question
what is the volume of rectangular pyramid with base area of 84 and height of 8
Answers
GPT-4o mini
The volume \( V \) of a rectangular pyramid can be calculated using the formula:
\[
V = \frac{1}{3} \times \text{Base Area} \times \text{Height}
\]
Given that the base area is \( 84 \) and the height is \( 8 \), we can substitute these values into the formula:
\[
V = \frac{1}{3} \times 84 \times 8
\]
First, calculate \( 84 \times 8 \):
\[
84 \times 8 = 672
\]
Now, substitute this into the volume formula:
\[
V = \frac{1}{3} \times 672 = 224
\]
Therefore, the volume of the rectangular pyramid is \( 224 \) cubic units.
\[
V = \frac{1}{3} \times \text{Base Area} \times \text{Height}
\]
Given that the base area is \( 84 \) and the height is \( 8 \), we can substitute these values into the formula:
\[
V = \frac{1}{3} \times 84 \times 8
\]
First, calculate \( 84 \times 8 \):
\[
84 \times 8 = 672
\]
Now, substitute this into the volume formula:
\[
V = \frac{1}{3} \times 672 = 224
\]
Therefore, the volume of the rectangular pyramid is \( 224 \) cubic units.