To find the volume of the rectangular prism with the same base and height as the rectangular pyramid, we need to first determine the dimensions of the base.
The volume of a rectangular pyramid is given by the formula:
Volume = (1/3) * base area * height
Since the volume of the rectangular pyramid is 10 cm^3, and the height of the prism is the same as the pyramid, we can rewrite the formula as:
10 = (1/3) * base area * height
Since the base of the prism is also the same as the base of the pyramid, we can write the formula for the volume of the rectangular prism as:
Volume = base area * height
We can rewrite the base area in terms of height as:
base area = (3 * 10) / height
Therefore, the volume of the rectangular prism with the same base and height as the pyramid is:
Volume = ((3 * 10) / height) * height = 30 cm^3
So, the volume of the rectangular prism is 30 cm^3.
A rectangular pyramid has a volume of 10cm cubed. What is the volume of a rectangular prism given it has a congruent base and height to the pyramid
1 answer