A rectangular pyramid has a volume of 10 cubed centimeters. What is the volume of a rectangular prism given it has a congruent base and height to the pyramid?
The volume of a rectangular pyramid is given by the formula V = (1/3)Bh, where B is the base area and h is the height.
Given that the volume of the pyramid is 10 cm^3, we can write:
10 = (1/3)Bh
Now, since the base of the prism is congruent to the base of the pyramid, and the height of the prism is the same as the height of the pyramid, the volume of the prism will be given by:
V = Bh
Since we know that the base area and height of the prism are the same as the pyramid, we can substitute these values into the equation:
V = Bh = 3(10) = 30 cm^3
Therefore, the volume of the rectangular prism is 30 cubic centimeters.