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)
The volume of a rectangular pyramid is given by the formula:
Volume = (1/3) * base area * height
Given that the volume of the rectangular pyramid is 480 in.3, and the base and height are congruent to the dimensions of the prism, we can find the base area and height of the prism.
Let the base area of the prism be x in.2 and the height be h in.
Therefore, the volume of the prism would be:
Volume = x * h
Since the base area and height of the prism are congruent to the base area and height of the pyramid, we have:
x = base area of pyramid
h = height of pyramid
From the formula for the volume of a rectangular pyramid, we have:
480 = (1/3) * x * h
Solving for x * h:
480 = (1/3) * x * h
x * h = 3 * 480
x * h = 1440
Therefore, the volume of the rectangular prism is 1440 in.3.