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OpenStudy (anonymous):
What is the volume of a cube with surface area 54 times (x ^ 2)?
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OpenStudy (anonymous):
Surface area of a cube with side length \(s\) is \(6s^2\). \[6s^2=54x^2~~\iff~~s^2=9x^2~~\iff~~s=3x\] Volume of a cube with the same side length is \(s^3\), so \[V=(3x)^3=27x^3\]
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