A rectangular pyramid has a volume of 480 inches if I rectangular prism has a base and height congruent to the pyramid why is the volume of the prism
The volume of a rectangular pyramid is given by the formula V = (1/3) * base area * height. Since the volume of the pyramid is given as 480 inches, we can rearrange this formula to solve for the base area * height.
480 = (1/3) * base area * height
480 * 3 = base area * height
1440 = base area * height
Now, if we have a rectangular prism with a base and height congruent to the pyramid, this means the base area and height of the prism are also 1440. The volume of a rectangular prism is given by the formula V = base area * height. Therefore, the volume of the prism will also be 1440 inches.