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?
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 rectangular pyramid:
Base area = length * width
Base area = 7.5 miles * 7 miles
Base area = 52.5 square miles
Now, plug in the values 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.