Use the formula for the volume of a rectangular pyramid to find the volume of a pyramid-shaped tent whose height is 75 in., width is 111 in., and length is 111 in. when standing.(1 point)
Responses
400,000 in.3
400,000 in. cubed
33,034.03 in.3
33,034.03 in. cubed
308,025 in.3
308,025 in. cubed
924,075 in.3
To find the volume of a rectangular pyramid, you use the formula V = (1/3) * base area * height.
First, calculate the base area of the pyramid:
Base area = length * width = 111 in. * 111 in. = 12321 square inches
Now, calculate the volume using the height provided:
V = (1/3) * 12321 sq. in. * 75 in.
V = (1/3) * 924075 in. cubed
V = 308,025 in. cubed
Therefore, the volume of the pyramid-shaped tent is 308,025 in. cubed.
So, the correct answer is:
308,025 in.3
308,025 in. cubed