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…

Question

asked Mar 13, 2023 158k views

1 Answer

Twils · Answer 1 · 2023-03-17T16:37:56+0000

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:

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