Question

what is the volume of the regular pyramid below?
a. 2700 units³
b. 270 units³
c. 8100 units³
d. 810 units³

Explanation:

Answer:

The formula for the volume \( V \) of a regular pyramid is \( V=\frac{1}{3}Bh \), where \( B \) is the area of the base and \( h \) is the height.

The base is a square with side length \( 10 \), so the area of the base \( B = 10\times10=100 \) square units. The height \( h = 81 \) units.

Substitute into the formula:
\( V=\frac{1}{3}\times100\times81 \)
\( V = 100\times27 \)
\( V = 2700 \) units³.

So the correct option is A. 2700 units³