Use the image to answer the question. 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.%C2%A0 The volume of the pyramid is m3.

Answer 1

To find the volume of the prism, we use the formula V = Bh, where B is the area of the base and h is the height.

Since the base is a triangle, the area of the base is (1/2) * base * height = (1/2) * 10 * 15 = 75 m^2.

Therefore, the volume of the prism is 75 * 15 = 1125 m^3.

To find the volume of the pyramid, we use the formula V = (1/3)Bh, where B is the area of the base and h is the height.

Since the base is a triangle, the area of the base is (1/2) * base * height = 75 m^2.

Therefore, the volume of the pyramid is (1/3) * 75 * 15 = 375 m^3.