Question

A rectangular prism has a height of 12 centimeters and a square base with sides measuring 5 centimeters. A pyramid with the same base and half the height of the prism is placed inside the prism, as shown in the figure.
what is The volume of the space outside the pyramid but inside the prism?

Answer 1

You subtract the volume of the pyramid from the volume of the prism. The volume of the prism is 5*5*12, which is 300cm^3. The volume of the pyramid is (5*5*6)/3, which is 50cm^3. 300-50=250, so the volume of the space outside the pyramid but inside the prism is 250cm^3.