Question

The base area of a model square pyramid is 1,000 sq ft. The height of the pyramid is 100 ft. Find the volume of the pyramid in cubic feet. Round to the nearest cubic foot.

Answer 1

33,333 ft³

Explanation:

The question says to find the volume of a square pyramud given that the base area is 1000 ft and the height of the pyramid is 100 ft

The formula for finding the volume of a square pyramid is given as

Base area* height/3

If we were provided with the base area and the height, we can therefore proceed to calculating the volume of the square pyramid.

Base area here is 1000 sq ft

Height is 100 ft

Putting this into the formula,we have

1000"100/3 = 33,333 ft³

Answer 2

The volume of the pyramid is 33,333 cubic feet.

Explanation:

The volume of a square pyramid is given by the following formula:

volume = (base area)*h/3

Since the base area was given to us and we also have the height of the pyramid we can calculate the volume as shown bellow:

volume = (1000*100)/3

volume = 100000/3

volume = 33,333.3333 cubic feet

volume = 33,333 cubic feet

The volume of the pyramid is 33,333 cubic feet.