Question
What is volume of the rectangular pyramid?
Length 7 mind width is 7.5 and height is 5 mi
Length 7 mind width is 7.5 and height is 5 mi
Answers
GPT-4o mini
The volume \( V \) of a rectangular pyramid can be calculated using the formula:
\[
V = \frac{1}{3} \times \text{Base Area} \times \text{Height}
\]
The base area of a rectangular pyramid is given by:
\[
\text{Base Area} = \text{Length} \times \text{Width}
\]
In this case, the length is 7 miles, the width is 7.5 miles, and the height is 5 miles.
1. Calculate the base area:
\[
\text{Base Area} = 7 \, \text{mi} \times 7.5 \, \text{mi} = 52.5 \, \text{mi}^2
\]
2. Now, substitute the base area and height into the volume formula:
\[
V = \frac{1}{3} \times 52.5 \, \text{mi}^2 \times 5 \, \text{mi}
\]
\[
V = \frac{1}{3} \times 262.5 \, \text{mi}^3
\]
\[
V = 87.5 \, \text{mi}^3
\]
Therefore, the volume of the rectangular pyramid is \( 87.5 \, \text{mi}^3 \).
\[
V = \frac{1}{3} \times \text{Base Area} \times \text{Height}
\]
The base area of a rectangular pyramid is given by:
\[
\text{Base Area} = \text{Length} \times \text{Width}
\]
In this case, the length is 7 miles, the width is 7.5 miles, and the height is 5 miles.
1. Calculate the base area:
\[
\text{Base Area} = 7 \, \text{mi} \times 7.5 \, \text{mi} = 52.5 \, \text{mi}^2
\]
2. Now, substitute the base area and height into the volume formula:
\[
V = \frac{1}{3} \times 52.5 \, \text{mi}^2 \times 5 \, \text{mi}
\]
\[
V = \frac{1}{3} \times 262.5 \, \text{mi}^3
\]
\[
V = 87.5 \, \text{mi}^3
\]
Therefore, the volume of the rectangular pyramid is \( 87.5 \, \text{mi}^3 \).