Question

find the volume of a pyramid with a square base, where the perimeter of the base is 18, point, 1, ft18.1 ft and the height of the pyramid is 28, point, 1, ft28.1 ft. round your answer to the nearest tenth of a cubic foot.

Answer 1

Rounding to the nearest tenth of a cubic foot, the volume of the pyramid is approximately \(191.9\) cubic feet.

Explanation:

Let's calculate the volume of the pyramid using the provided information:

\[ V = \frac{1}{3} \times (4.525^2) \times 28.1 \]

\[ V \approx \frac{1}{3} \times 20.505625 \times 28.1 \]

\[ V \approx \frac{1}{3} \times 575.7805625 \]

\[ V \approx 191.9268542 \]

Rounding to the nearest tenth of a cubic foot, the volume of the pyramid is approximately \(191.9\) cubic feet.