Use the image to answer the question.
An illustration shows a triangular prism and a triangular pyramid. The edges that are not visible are marked as dashed lines. The triangular prism has its triangular face as the base. The area of the triangular face is labeled as upper B equals 10 inches squared. The length is 7 inches. The triangular pyramid has the triangular face as its base with the area labeled upper B equals 10 inches squared. The perpendicular height of the pyramid is 7 inches.
How does the volume of the prism compare to the volume of the pyramid?
The volume of a prism is equal to the area of its base multiplied by its height. In this case, the volume of the prism would be calculated as V = 10 inches squared (area of base) x 7 inches (height) = 70 cubic inches.
The volume of a pyramid is equal to one-third of the area of its base multiplied by its height. In this case, the volume of the pyramid would be calculated as V = (1/3) x 10 inches squared (area of base) x 7 inches (height) = 23.33 cubic inches.
Therefore, the volume of the prism (70 cubic inches) is greater than the volume of the pyramid (23.33 cubic inches).