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)

Question

308025in .^ 3

400000in .^ 3

924075in .^ 3

33.034 * 0.03in .^ 3

Answer 1

To find the volume of a rectangular pyramid, you can use the formula:

Volume = (1/3) * base area * height

Given:
Height = 75 in.
Width = 111 in.
Length = 111 in.

First, we need to calculate the base area which is the area of the base of the pyramid. The base of the pyramid is a rectangle with dimensions 111 in. by 111 in., so the base area is:

Base Area = Length * Width
Base Area = 111 in. * 111 in.
Base Area = 12321 in.^2

Now, plug in the values into the formula for the volume of the pyramid:

Volume = (1/3) * 12321 in.^2 * 75 in.
Volume = (1/3) * 924075 in.^3
Volume = 308025 in.^3

Therefore, the volume of the pyramid-shaped tent is 308025 in.^3.

So, the correct answer is:
308025 in.^3