Geometry Homework

Question

The square pyramid at Giza has a base length of 230 m and a height of 139 m. What is the approximate volume of the pyramid?

A. 2,451.000 m^3

B. 1,390.000 m^3

C. 2,300.000 m^3

D. 2,583.000 m^3

Answer 1

The formula for the volume of a pyramid with any polygon base is

V = (1/3) * (area of the base) (height)

It is a square pyramid so the base is a square. The area of a square is the side length squared, or

A = (side length)^2 = (230)^2 = 52,900

So, we put the base area and the height into the volume formula:

V = (1/3) * (52,900) * (139) = 2,451,033.33

Therefore the best answer to choose is A.

Also, the answer is a volume so the correct units will be cubed or m^3 but all answers used the correct units.