Relationship between three dimensional objects.

Question

What is the relationship between a prism and a cylinder? Between a pyramid and a cone?

Answer 1

If you inspect the Volume formulas for Prism & Pyramid, you will see that the latter formula has a factor of 1/3--the rest of the formulas is the same (namely Base Area • height).  Consequently a pyramid having the same base as a prism will have only one third of the volume of the prism, if the two have identical heights.

 

A similar remark pertains to Cylinder & Cone.