The prism and pyramid above have the same width, length, and height. The volume of the prism is 45 cm3. What is the volume of the pyramid?

Question

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Answer 1

The pyramid's formula for Volume is identical to the formula for Volume of a prism, except for having a factor 1/3.

 

Base Area and height being the same for a pyramid and a prism, the volume of the pyramid is always one third that of the prism.

 

A similiar fact pertains to Cone vs Cylinder...these 3 dimensional volumes have a ratio of 1/3 to one another.

 

In two dimensions, there's a ratio of 1/2 between areas of triangles and rectangles having the same base & height.