A rectangular pyramid has a volume of 10 cm3 . What is the volume of a rectangular prism given it has a congruent base and height to the pyramid?(1 point) cm3
The volume of a rectangular pyramid is given by the formula V = 1/3 * base area * height. Since the volume of the pyramid is 10 cm3, we have:
10 = 1/3 * base area * height
Now we know that the base and height of the rectangular prism are congruent to the base and height of the pyramid. Therefore, the base area of the prism is the same as the base area of the pyramid, and the height of the prism is the same as the height of the pyramid.
Let the base area be B and the height be H. Then, the volume of the rectangular prism is given by V = B * H. Using the information that the volume of the prism is equal to the volume of the pyramid, we have:
B * H = 10
Since B = base area of the pyramid and H = height of the pyramid, the volume of the rectangular prism is also 10 cm3.