Homework Help: geometry

Posted by Piggy on Wednesday, February 22, 2012 at 10:49pm.

The surface area to volume ratio of a cube is 2 to 5. Find the length of each side.

geometry - Reiny, Wednesday, February 22, 2012 at 11:23pm
let each side be x

6x^2 / x^3 = 2/5
2x^3 = 30x^2
2x^3 - 30x^2 = 0
2x^2(x - 15) = 0
x = 0, no cube
or
x = 15

check:
volume = 15^3 = 3375
SA = 6x^2 = 1350
1350/3375 = 2/5 , YEAHH
geometry - Piggy, Thursday, February 23, 2012 at 12:27am
thank you

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