The volume of a rectangular prism is given by the formula V = lwh, where l is the length, w is the width, and h is the height.
Given that the volume of the prism is 27 in^3, we can find the side length of the cube by taking the cube root of the volume:
V = lwh
27 = lwh
27 = l^3
l = cuberoot(27)
l = 3 in
Since the base side length and height of the pyramid are congruent to the prism, the volume of the pyramid can be found using the same formula:
V = (1/3)lwh
V = (1/3)(3)(3)(3)
V = (1/3)(27)
V = 9 in^3
So the volume of the rectangular pyramid is 9 in^3.
A rectangular prism has a volume of 27 in.3 . If a rectangular pyramid has a base and height congruent to the prism, what is the volume of the pyramid?(1 point)
in.3
1 answer