Use the formula for the volume of a rectangular pyramid to find the volume of a pyramid shaped tent, whose height is 75 inches width is 111 inches and the length is 111 inches when standing.
A. 33,034.03 in^3
B. 400,000 in^3
C. 924,075 in^3
D. 308, 025 in^3
To find the volume of a pyramid shaped tent, we use the formula for the volume of a rectangular pyramid which is given as:
V = (1/3) * base area * height
In this case, the base area will be the area of the base of the tent, which is a rectangle with dimensions 111 inches by 111 inches. Therefore, the base area will be:
Base area = length * width
Base area = 111 in * 111 in
Base area = 12,321 in^2
Given that the height of the tent is 75 inches, we can plug these values into the formula to find the volume:
V = (1/3) * 12,321 in^2 * 75 in
V = (1/3) * 924,075 in^3
V = 308,025 in^3
Therefore, the volume of the pyramid shaped tent is 308,025 in^3, which means the correct answer is D. 308,025 in^3.