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 prism and pyramid base
To find the volume of the prism, we first need to calculate the area of the base triangle of the prism. Since the base of the prism is a triangle with side lengths of 7 m and 8 m, we can calculate the area using the formula for the area of a triangle:
Area = 1/2 * base * height
Area = 1/2 * 8 * 7
Area = 28 square meters
Now, to find the volume of the prism, we multiply the area of the base by the height of the prism:
Volume = Area of base * Height
Volume = 28 * 15
Volume = 420 cubic meters
Therefore, the volume of the prism is 420 cubic meters.