A rectangular prism has a volume of 27in cubed if a rectangular pyramid has a base and height congruent to the prism what is the volume of the pyramid

1 answer

Since the base and height of the pyramid are congruent to the prism, their dimensions are the same. Therefore, the volume of the pyramid is 1/3 of the volume of the prism.

Volume of the prism = 27 in^3

Volume of the pyramid = 1/3 * Volume of the prism
Volume of the pyramid = 1/3 * 27 in^3
Volume of the pyramid = 9 in^3

So, the volume of the pyramid is 9 in^3.