Find the volume of a pyramid with a square base, where the perimeter of the base is 15, point, 2, m15.2m and the height of the pyramid is 21, point, 3, m21.3m. Round your answer to the nearest tenth of a cubic meter.

Answer 1

First, we need to find the area of the base of the pyramid. Since the base is a square, we can find the length of one side by dividing the perimeter by 4.

Side length = Perimeter / 4
Side length = 15.2 / 4
Side length = 3.8m

Now, we can find the area of the base:

Area of base = side length^2
Area of base = 3.8^2
Area of base = 14.44 m^2

Next, we can find the volume of the pyramid using the formula:

Volume = (1/3) * base area * height
Volume = (1/3) * 14.44 * 21.3
Volume = 101.16 m^3

Therefore, the volume of the pyramid is approximately 101.2 cubic meters.