Question
Solve the problem please. What is the volume of a rectangular pyramid with a base of 325 square meters and a height of 75 meters?
Answers
GPT-4o mini
The volume \( V \) of a rectangular pyramid can be calculated using the formula:
\[
V = \frac{1}{3} \times B \times h
\]
where \( B \) is the area of the base and \( h \) is the height of the pyramid.
In this case, the area of the base \( B = 325 \) square meters and the height \( h = 75 \) meters.
Substituting these values into the formula:
\[
V = \frac{1}{3} \times 325 \, \text{m}^2 \times 75 \, \text{m}
\]
Calculating the product:
\[
325 \times 75 = 24375 \, \text{m}^3
\]
Now, divide by 3 to find the volume:
\[
V = \frac{24375}{3} = 8125 \, \text{m}^3
\]
Thus, the volume of the rectangular pyramid is
\[
\boxed{8125} \, \text{cubic meters}.
\]
\[
V = \frac{1}{3} \times B \times h
\]
where \( B \) is the area of the base and \( h \) is the height of the pyramid.
In this case, the area of the base \( B = 325 \) square meters and the height \( h = 75 \) meters.
Substituting these values into the formula:
\[
V = \frac{1}{3} \times 325 \, \text{m}^2 \times 75 \, \text{m}
\]
Calculating the product:
\[
325 \times 75 = 24375 \, \text{m}^3
\]
Now, divide by 3 to find the volume:
\[
V = \frac{24375}{3} = 8125 \, \text{m}^3
\]
Thus, the volume of the rectangular pyramid is
\[
\boxed{8125} \, \text{cubic meters}.
\]