An illustration shows a rectangular pyramid with length of 7.5 miles, a width of 7 miles, and a perpendicular height of 5 miles. The right and front faces are visible. Edges and faces that are not visible are indicated by dashed lines.

What is the volume of the rectangular pyramid?

? mi.3

1 answer

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

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

First, find the base area of the rectangular pyramid by multiplying the length and width:

Base area = 7.5 miles * 7 miles = 52.5 square miles

Now, substitute the base area and height into the formula:

Volume = (1/3) * 52.5 square miles * 5 miles
Volume = (1/3) * 262.5 cubic miles
Volume = 87.5 cubic miles

Therefore, the volume of the rectangular pyramid is 87.5 cubic miles.