Use the image to answer the question.

An illustration shows a square rectangular pyramid with a side length of 16 miles and a perpendicular height of 8 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? Round answer to nearest hundredth in decimal form.

(1 point)

1 answer

The formula for the volume of a rectangular pyramid is shown below:

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

First, calculate the area of the base of the pyramid, which is a square with side length 16 miles:

Base area = side length * side length
Base area = 16 miles * 16 miles
Base area = 256 square miles

Now, substitute the values into the volume formula:

Volume = (1/3) * 256 square miles * 8 miles
Volume = (1/3) * 2048 cubic miles
Volume = 682.67 cubic miles

Therefore, the volume of the rectangular pyramid is approximately 682.67 cubic miles.