Question

Find the volume of a pyramid with a square base, where the perimeter of the base is 18.1 ft and the height of the pyramid is 28.1 ft. Round your answer to the nearest tenth of a cubic foot.

Answer 1

Step-by-step explanation:

the volume of a pyramid is

base area × height / 3

the base area here is a square.

we know its perimeter : 18.1 ft, which is 4 times the side length.

so, one side of the square is :

18.1/4 = 4.525 ft

the area of the square is side² = 4.525² = 20.475625 ft²

we also know the height of the pyramid, so the volume is :

Vp = 20.475625 × 28.1 / 3 = 191.7883542 ft³

the rounded volume of the pyramid is 191.8 ft³

Answer 2

Answer:

191.8

Step-by-step explanation:

Hope this helps!