There is a rectangular prism and pyramid with congruent bases and height. If the volume of the pyramid is 48 in.3 , what is the volume of the prism?(1 point)
16 in
96 in
144 in
24 in
The volume of a pyramid is given by the formula: V = (1/3) * base area * height
Since the pyramid and prism have congruent bases and heights, the base area and height are the same for both shapes.
Given that the volume of the pyramid is 48 in^3, we can set up the following equation:
48 = (1/3) * base area * height
To find the volume of the prism, we can use the formula for the volume of a rectangular prism: V = base area * height
From the equation above, we know that base area * height = 48 * 3 = 144
Therefore, the volume of the prism with congruent base and height is 144 in^3.
So, the correct answer is:
144 in