14 m
7 m
8 m
16 m
A prism and pyramid have congruent triangular bases. If their heights are both 15 m, what is the volume of each shape?
The volume of the prism is __ m3
The volume of the pyramid is __ m3
The volume of a prism is calculated by multiplying the area of the base by the height. Since the base of the prism is a triangle with sides of 14m and 8m, the area of the base would be 1/2 * 14 * 8 = 56 m^2.
The volume of the prism would be 56 m^2 * 15m = 840 m^3.
The volume of a pyramid is calculated by multiplying the area of the base by the height and then dividing by 3. Since the base of the pyramid is the same triangle as the prism, the area of the base is 56 m^2.
The volume of the pyramid would be 56 m^2 * 15m / 3 = 280 m^3.