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:

$\text{Volume = }\frac{1}{3}a^2h$

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

Replacing terms:

$\text{Volume = }\frac{1}{3}\cdot19.3^2\cdot16.2$

Solving the power:

$\text{Volume = }\frac{1}{3}\cdot372.49\cdot16.2$

Multiplying terms:

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

Rounding to the nearest tenth:

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