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Relating the surface area and volume of two cubes?
I know this shouldn't be too hard, but I'm beating my head against the wall trying to get this problem:
Cube C1 has sides of length L, has an area A, and a volume V. Cube C2 has an area that is 1/3 A. What is the length of the sides and the volume of cube C2?
I need to give the length in terms of L (ex 5L or something like that) and the volume in terms of V. I can only get as far as describing L in terms of A.
HELP! How do I do this problem?
Let the Length and Volume of cube2 be L2 & V2 .
For Cube1:
A = 6(L^2) V = L^3
For Cube2:
A = 6(L^2) / 3 = 2 (L^2) = 6 {(L2)^2} => L2 = L / sqrt(3)
Now V2 = (L2^3) = (L^3) / 3sqrt(3)
replacing L^3 by V
==>V2 = V / 3sqrt(3)
cheers!!!!!!!!!!!!!!!!!
She & Him - In The Sun (2010)