Question

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?

Answer 1

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