Use the image to answer the question.
An illustration shows a triangle with sides measuring 16 meters, 14 meters, and 8 meters. A dashed perpendicular line, from the side measuring 16 meters to the opposite angle, measures 7 meters. A right angle symbol is shown to the left of the perpendicular line.
A prism and pyramid have congruent triangular bases. If their heights are both 15 m, what is the volume of each shape?
(1 point)
The volume of a prism is given by the formula V = base area x height. In this case, the base area of the triangular base of the prism is 1/2 x base x height = 1/2 x 16 x 7 = 56 square meters.
Therefore, the volume of the prism is V = 56 x 15 = 840 cubic meters.
The volume of a pyramid is given by the formula V = 1/3 x base area x height. The base area of the triangular base of the pyramid is the same as the prism, so V = 1/3 x 56 x 15 = 280 cubic meters.
Therefore, the volume of the pyramid is 280 cubic meters.