SOLUTION: If a triangular prism and a triangular pyramid have equal bases and equal altitudes, the volume of the prism is how many times the volume of the pyramid?

Algebra ->  Algebra  -> Customizable Word Problem Solvers  -> Geometry -> SOLUTION: If a triangular prism and a triangular pyramid have equal bases and equal altitudes, the volume of the prism is how many times the volume of the pyramid?      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com
Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!
Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!

   


Question 4916: If a triangular prism and a triangular pyramid have equal bases and equal altitudes, the volume of the prism is how many times the volume of the pyramid?
Answer by rapaljer(4551) About Me  (Show Source):
You can put this solution on YOUR website!
Because a pyramid (or a cone) comes to a point, it turns out that the volume is 1/3 of the volume that it would have been if it had been the same from bottom all the way to the top as a prism is. Therefore, the prism is 3 times the volume of a pyramid (or cone) of comparable base and height.

R^2 at SCC