A prism and a pyramid have congruent triangular bases. If their heights are both 15 m, what is the volume of the PRISM?
To find the volume of the prism, we first need to calculate the area of the triangular base. Since the prism and the pyramid have congruent triangular bases, their bases have the same area.
The formula for the area of a triangle is:
Area = 1/2 * base * height
Since the height of the triangular base is the same for both the prism and the pyramid, we can use the same formula for both shapes. Let's assume the base of the triangle is given by b.
Area of the base = 1/2 * b * 15 m
Volume of the prism = Area of the base * height of the prism
Volume = (1/2 * b * 15 m) * 15 m
Volume = 112.5 * b m^3
Therefore, the volume of the prism is 112.5 times the base length. Without knowing the value of the base length, we cannot calculate the exact volume of the prism.