An illustration shows a rectangular pyramid with a length of 8 millimeters, a width of 5 millimeters, and a perpendicular height of 18 millimeters. 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?

(1 point)

1 answer

The volume of a rectangular pyramid can be calculated using the formula:

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

First, calculate the base area of the rectangular pyramid:
Base area = length * width
Base area = 8 mm * 5 mm
Base area = 40 mm²

Now, substitute the base area and height values into the formula:
Volume = (1/3) * 40 mm² * 18 mm
Volume = (1/3) * 720 mm³
Volume = 240 mm³

Therefore, the volume of the rectangular pyramid is 240 cubic millimeters.