Posted by **audrey** on Wednesday, May 18, 2011 at 5:41pm.

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**, Wednesday, May 18, 2011 at 5:59pm
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**, Wednesday, May 18, 2011 at 6:04pm
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**, Wednesday, May 18, 2011 at 6:07pm
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**, Wednesday, May 18, 2011 at 6:13pm
ooohhhhh! I get it now! thanks so much!

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