Question

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 the prism is
m3
.
The volume of the pyramid is
m3
.

Answer 1

Base area = 1/2·16·7 = 56 m².

Prism: V = base·height = 56·15 = 840 m³.
Pyramid: V = (1/3)·base·height = (1/3)·56·15 = 280 m³.