How do you increase the volume of a rectangular prism without altering the surface area?

Guest Mar 19, 2017

#1**+1 **

It's possible

For instance

Let L = 3, W= 6 and H =10

Volume = 3 * 6 * 10 = 180 units^3

And the surface area = 2 [ 3 * 6 + 3 *10 + 10 * 6] = 2 [ 18 + 30 + 60] = 2 [108 ] =

216 units^2

Now.....let L = W = H = 6 and the volume is 216 units^3

And the surface area is 6 ( 6 * 6 ) = 216 units^2

So...the surface areas are the same but the volume of the second is > the volume of the first

CPhill
Mar 19, 2017