Find the volume of a pyramid with a square base, where the side length of the base is 11, point, 1, m11.1 m and the height of the pyramid is 8, point, 2, m8.2 m. Round your answer to the nearest tenth of a cubic meter.
The volume of a pyramid is given by the formula V = (1/3) * base area * height.
First, we need to find the area of the square base. Since the side length of the base is 11.1m, the area of the square base is (11.1m)^2 = 123.21m^2.
Now, we can plug in the values into the formula to find the volume:
V = (1/3) * 123.21m^2 * 8.2m
V = (1/3) * 1008.582m^3
V = 336.193m^3
Rounded to the nearest tenth, the volume of the pyramid is approximately 336.2 cubic meters.
incorrect
Apologies for the error in the previous response. Let's correct that.
Given:
Side length of the square base = 11.1m
Height of the pyramid = 8.2m
The formula to calculate the volume of a pyramid with a square base is V = (1/3) * base area * height.
First, calculate the area of the square base:
Area = (side length)^2
Area = 11.1m * 11.1m
Area = 123.21m^2
Now, plug the values into the volume formula:
V = (1/3) * 123.21m^2 * 8.2m
V = (1/3) * 1008.582m^3
V = 336.194m^3
Rounded to the nearest tenth, the volume of the pyramid is approximately 336.2 cubic meters.