A rectangular pyramid has a volume of 480in cubic if a rectangular prism has a base and height congruent to the pyramid what is the volume of the prism
The volume of the pyramid is given by the formula:
Volume = 1/3 * base area * height
Since the base and height of the prism are congruent to the pyramid, the base area and height of the prism are the same as the pyramid:
Volume of pyramid = 1/3 * base area * height
480in^3 = 1/3 * base area * height
Since the base of the prism is a rectangle, the base area is given by:
base area = length * width
Since the base area and height of the prism are the same as the pyramid:
480in^3 = 1/3 * (length * width) * height
To find the volume of the prism, we need to multiply the base area by the height:
Volume of prism = base area * height
Volume of prism = (length * width) * height
Since the base area and height of the prism are the same as the pyramid, the volume of the prism is also 480in^3.