A rectangular prism has a volume of 27 in cubic if a rectangular pyramid has a base and height congruent to the prism. What is the volume of the puramid
Since the rectangular prism has a volume of 27 in cubic, we know that its dimensions must multiply to 27.
Let's say the dimensions of the rectangular prism are:
Length = 3 in
Width = 3 in
Height = 3 in
Since the rectangular pyramid has a base and height congruent to the prism, the base of the pyramid will also be 3 in by 3 in.
To find the volume of the pyramid, we can use the formula:
Volume = (1/3) * base area * height
Substitute the base area and height:
Volume = (1/3) * (3*3) * 3
Volume = (1/3) * 9 * 3
Volume = 3 * 3
Volume = 9 in cubic
Therefore, the volume of the pyramid is 9 in cubic.