Question

An architect has designed a new hotel shaped like a giant rectangular pyramid. The base of the model for this hotel measures 20 inches by 30 inches, and is 25 in. tall. What is the volume of the pyramid?

Answer 1

Volume of pyramid = 5000 cubic inches.

Explanation:

Given the following data;

Length = 20 inches

Width = 30 inches

Height = 25 inches

To find the volume of pyramid;

Mathematically, the volume of a pyramid is given by the formula;

`Volume = \frac {1}{3} * base \; area * height`

First of all, we would determine the base area;

Base area = length * width

Base area = 20 * 30

Base area = 600 in²

Substituting into the formula, we have;

`Volume = \frac {1}{3} * 600 * 25`

`Volume = 200 * 25`

Volume of pyramid = 5000 cubic inches.