A rectangular pyramid has a volume of 10 cm cubed. What is the volume of a rectangular prism given it has a congruent base and height to the pyramid? Remember this has to do with how the 2 shapes are related! Look at your formulas for a big clue also!
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 of the pyramid.
Since the rectangular prism has a base and height that are congruent to those of the pyramid, their base areas and heights are also the same. Therefore, the volume of the rectangular prism will be three times the volume of the pyramid.
Given that the volume of the pyramid is 10 cm^3, the volume of the rectangular prism will be
V_prism = 3 * V_pyramid
V_prism = 3 * 10 cm^3
V_prism = 30 cm^3
Therefore, the volume of the rectangular prism is 30 cm^3.