Posted by **unknown** on Friday, October 28, 2011 at 10:50am.

Jan says if you double each of the dimensions of a rectangular box, it will take twice as much wrapping paper to wrap it. How do you respond?

- math -
**Jai**, Friday, October 28, 2011 at 11:03am
the surface area of a rectangular solid is given by

SA = 2(LW + LH + WH)

where

W = width, L = length, H = height

if we double all the dimensions,

SA' = 2[(2L)(2W) + (2L)(2H) + (2W)(2H)]

SA' = 2[4LW + 4LH + 4WH]

SA' = 2*4[LW + LH + WH]

SA' = 4*SA

therefore, what Jan says is wrong. It takes 4 times as much wrapping paper to wrap it.

hope this helps~ :)

- math -
**Steve**, Friday, October 28, 2011 at 12:01pm
Since area is 2-dimensional, doubling each linear dimension scales the area by 2^{2} = 4

It changes the volume by 2^{3} = 8

## Answer this Question

## Related Questions

- math - Rodney need 3/4 of a roll of wrapping paper to wrap 5 gifts. How much ...
- Calc - A gift box measures 6 in. along each edge You cut a rectangular sheet of ...
- Math - How do I find the dimensions of a piece of wrapping paper used to wrap ...
- Math - How do I find the dimensions of a piece of wrapping paper used to wrap ...
- math - Alex must wrap two boxes. Both boxes are right rectangular prisms. The ...
- Math - a gift store owner used 9 rolls of wrapping paper to wrap his customers' ...
- 5th grade math - Nora is making a donation box for her store. She wants to wrap ...
- thuto-boswa sec school - solo buys a roll of wrapping paper.The length of The ...
- Math - You have to wrap gift boxes for your club project. Each box is 4.5 ...
- Math - A gift box is 15 inches long, 10 inches wide, and 3 inches high. How much...

More Related Questions