A right rectangular pyramid has an altitude of 22.3 inches , a length of 6.75 inches , and a width of 10.25 inches. What is the volume of the pyramid in cubic inches?

1 answer

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

Volume = 1/3 * base area * height

First, calculate the base area of the pyramid, which is the area of the rectangle formed by the length and width.

Base Area = length * width
Base Area = 6.75 * 10.25
Base Area = 69.1875 square inches

Now, plug in the values into the volume formula:

Volume = 1/3 * 69.1875 * 22.3
Volume ≈ 516.689 cubic inches

Therefore, the volume of the rectangular pyramid is approximately 516.689 cubic inches.