Find the volume of a pyramid with a square base, where the side length of the base is 7.2 cm and the height of the pyramid is 10.4 cm. Round your answer to the nearest tenth of a cubic centimeter.

Answer 1

The formula for the volume of a pyramid is: V = (1/3)Bh, where B is the area of the base and h is the height of the pyramid.

For a pyramid with a square base, the area of the base is simply the length of one side squared.

So in this case, the area of the base is: B = 7.2 cm x 7.2 cm = 51.84 square cm

Using the formula for the volume of a pyramid, we can now calculate the volume:

V = (1/3) x 51.84 cm^2 x 10.4 cm

V = 180.224 cm^3

Rounding to the nearest tenth of a cubic centimeter, the final answer is:

V ≈ 180.2 cm^3.