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?

1 answer

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

\[ \boxed{8125} , \text{cubic meters}. \]