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
728 cubic units
728 cubic units
3,276 cubic units
3,276 cubic units
1,092 cubic units
1,092 cubic units
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364 cubic units
To find the volume of the pyramid, we use the formula V = (1/3) * area of base * height. Since the prism and the pyramid have the same base and height, the ratio of their volumes is 1:3 (1/3). Therefore, the volume of the pyramid is 1/3 of the volume of the prism, which is 1,092 cubic units.
1,092 / 3 = 364 cubic units.