Question

the top of the Washington Monument is shaped like a rectangular pyramid. the pyramid top has an approximate width and length of 34.5 feet and a height of 55 feet. what is the approximate volume of the pyramid top, in cubic feet. show work.

Answer 1

The volume of a rectangular pyramid

Given a rectangular pyramid of width W, length L, and Height H, the volume is

$V=\frac{\text{WLH}}{3}$

We have to assume the pyramid given in the question has a square shape of length and width of L=34.5 feet and W = 34.5 feet, and a height of H=55 feet, thus the volume is:

$V=\frac{\text{34.5}\cdot34.5\cdot55}{3}=21,821.25ft^3$

Correct choice: A