Question

If a prism and pyramid have the same base area and height, the volume of the pyramid is ______ of the volume of the prism.

• A. thrice
• B. one-third
• C. twice
• D. one-fourth

Answer 1

The correct option is B one-third

If a prism and pyramid have the same base and height, the volume of the pyramid is one-third of the volume of the prism.
The volume of the prism $=Basearea\times Height$

The volume of the pyramid $=\frac{1}{3}\times Basearea\times Height$

$=\frac{1}{3}\times$ Volume of the prism (since the base area and height are the same)