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