Find the volume of a pyramid with a square base, where the area of the base is 19.6 ft^2 and the height of the pyramid is 11.6 ft. Round your answer to the nearest tenth of a cubic foot.

volume ≈ 75.8 ft³(nearest tenth of a cubic foot)

Explanation:

A square base pyramid has the base of the pyramid as a square. The lateral faces are triangular. The volume of a square base pyramid is the product of the base area and the height of the pyramid divided by 3.   Mathematically, it is expressed below

The volume of a square base pyramid = 1/3Bh

where

B = base area

h = height of pyramid

B = 19. 6 ft²

h = 11. 6 ft

volume = 1/3 × B × h

volume = 1/3 × 19.6 × 11.6

volume = 227.36/3

volume = 75.7866666667

volume ≈ 75.8 ft³(nearest tenth of a cubic foot)