Posted by audrey on .
the base of a rectangular prism is congruent to the base of a pyramid. The height of the pyramid is 3 times the height of the prism. Which figure has a greater volume? Explain.
I'm terrible with these kind of word problems. If you could explain that would be great.

MATH 
Reiny,
The volume of the rectangular prism
= base area x height
the volume of the pyramid
= (1/3) base x height
If the height of the pyramid is 3 times the height
the factor of 3 would cancel the 1/3 of the formula, and their volumes would be equal. 
MATH 
audrey,
wai the height of the pyramid is 3 times the height?
Can you just show how you got it with numbers like how you would on a piece of paper. Thanks! 
MATH 
Reiny,
let height of prism be h
let height of pyramid be 3 h, (they said so.)
volume of prism = (base)(h)
volume of pyramid = (1/3)(base)(3h)
= (base)(h)
They are the same ! 
MATH 
audrey,
ooohhhhh! I get it now! thanks so much!