A right rectangular pyramid has an altitude of 35 m, a length of 26 m, and a width of 31 m. What is the volume of the pyramid in m3 ?(1 point)

Responses

28,210 m^3

84,630 m^3

9,403.33 m^3

30.67 m^3

1 answer

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

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

The base of the pyramid is a rectangle with a length of 26 m and a width of 31 m, so the base area is:

Base area = length * width = 26 m * 31 m = 806 m^2

Now, substitute the values into the volume formula:

Volume = (1/3) * 806 m^2 * 35 m

Volume = (1/3) * 28210 m^3

Volume ≈ 9403.33 m^3

So, the correct answer is 9,403.33 m^3.