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!

## Answer This Question

## Related Questions

- math - the base of a rectangular prism is congruent to the base of a pyramid. ...
- math - the base of a rectangular prism is congruent to the base of a pyramid. ...
- Geometry - A rectangular pyramid fits exactly on top of a rectangular prism. ...
- math - check my answers pls 1. which solid has two bases that are triangles and ...
- geometry - 1. which solid has two bases that are triangles and three lateral ...
- geometry - check my answers pls 1. which solid has two bases that are triangles ...
- geometry - DIAGRAMS ARE HERE: type filedropper . c o m /diagrams (in .zip file) ...
- geography need help please - I need to pass my finals tomorrow! pleas help me! ...
- algebera - 1) Identify the solid form by the given net. :Triangular Prism :...
- Maths - Solve the equation:a right pyramid with vertical height stand on ...

More Related Questions