Question

Find the volume of a pyramid with a square base, where the side length of the base is 19.3 ft and the height of the pyramid is 16.2 ft. Round your answer to the nearest tenth of a cubic foot. Answer: ft 3 Submit Answer attempt 1 out of 2

Answer 1

EXPLANATION

Given the pyramid with a square base where the side length is = 19.3 an h= 16.2 ft.

The equation to find the volume is as follows:

`\text{Volume = }(1)/(3)a^2h`

where a=side length = 19.3ft and h=16.2

Replacing terms:

`\text{Volume = }(1)/(3)\cdot19.3^2\cdot16.2`

Solving the power:

`\text{Volume = }(1)/(3)\cdot372.49\cdot16.2`

Multiplying terms:

`\text{Volume = 2,011.44 ft}^3`

Rounding to the nearest tenth:

`\text{Volume = 2,011.4 ft}^3`