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there is a real number n such that numerical values of sum of the edge lengths and surface area of a cube with side length n are equal. find n?

User Vad
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Answer:

Given:

Sum of edge lengths = TSA of cube

there are 12 edges in a cube


12n = 6 {n}^(2) \\ 6 {n}^(2) - 12n = 0 \\ 6n(n - 2) = 0 \\ 6n = 0 \\ n = 0 \\ n - 2 = 0 \\ n = 2

n ≠ 0 (since length can't be 0)

therefore n=2

User Jeremy Bell
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