Use the image to answer the question.
An illustration shows a triangle with sides measuring 21, 17, and 10. A perpendicular line, from the side measuring 21 to the opposite angle, measures 8. A right angle symbol is shown to the left of the perpendicular line.
A prism and a pyramid both have this triangular base. If both shapes have the same height and the volume of the prism is 1,092 cubic units, what is the volume of the pyramid?
(1 point)
Responses
364 cubic units
364 cubic units
1,092 cubic units
1,092 cubic units
728 cubic units
728 cubic units
3,276 cubic units
364 cubic units
The volume of a prism and a pyramid with the same height is directly proportional to the area of their bases. Since the pyramid has 1/3 the volume of the prism with the same base and height, the volume of the pyramid would be 1/3 of 1,092 cubic units, which equals 364 cubic units.