Question

Ind the volume of a pyramid with a square base, where the side length of the base is 15.3\text{ m}15.3 m and the height of the pyramid is 19.6\text{ m}19.6 m. Round your answer to the nearest tenth of a cubic meter.

Answer 1

The volume of a pyramid with a square base is calculated using the formula V = (1/3) x base area x height. In this case, the volume is 764.3 m^3.

Step-by-step explanation:

The volume of a pyramid with a square base can be calculated using the formula:

V = (1/3) x base area x height

In this case, the side length of the base is 15.3 m and the height of the pyramid is 19.6 m.

First, calculate the area of the base by squaring the side length:

Area = (15.3 m)^2 = 234.09 m^2

Then, plug the values into the volume formula:

V = (1/3) x 234.09 m^2 x 19.6 m = 764.3292 m^3

Rounding to the nearest tenth of a cubic meter, the volume of the pyramid is 764.3 m^3.