A prism and a pyramid have a congruent triangular bases if the heights are both 15 m what is the volume of the prism

8 m prism side 7 m prism and pyramid side 16 m prism and pyramid bottom side

1 answer

In order to calculate the volume of the prism, we need to first calculate the area of the base triangle.

For the prism with side lengths of 8 m and 7 m, we can use the formula for the area of a triangle, which is 0.5 * base * height.

Area of base triangle = 0.5 * 8 * 7 = 28 square meters

Now, we can calculate the volume of the prism using the formula for the volume of a prism, which is base area * height.

Volume of prism = 28 * 15 = 420 cubic meters

Therefore, the volume of the prism with side lengths of 8 m and 7 m and height of 15 m is 420 cubic meters.