A rectangular pyramid has a volume of 480 in.3. If a rectangular prism has a base and height congruent to the pyramid, what is the volume of the prism?(1 point)
in.3
The volume of a pyramid is given by the formula V = 1/3 * base area * height. Since the pyramid has a volume of 480 in.3, we can set up the equation:
480 = 1/3 * base area * height.
We know that the base area of the pyramid is the same as the base area of the prism, and the height of the pyramid is the same as the height of the prism. Therefore, the volume of the prism can be calculated by:
V = base area * height.
Since base area * height = 3 * 480 = 1440, the volume of the prism is 1440 in.3.