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?

Respuesta :

Lanuel

Answer:

Volume of pyramid = 5000 cubic inches.

Step-by-step 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;

[tex] Volume = \frac {1}{3} * base \; area * height [/tex]

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;

[tex] Volume = \frac {1}{3} * 600 * 25 [/tex]

[tex] Volume = 200 * 25 [/tex]

Volume of pyramid = 5000 cubic inches.