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# The volume of a cube is equal to sum of its edges. What is the total surface area in square units?

 A) 12 B) 36 C) 72 D) 144

 C) 72

Let the edge of a square be x and sum of its edges =12x

Now, by condition, $$\Large x^{3} = 12x$$ [Because, x ≠ 0] ...(i)

=> $$\Large x \left(x^{2} - 12\right) = 0$$

=> $$\Large x^{2} = 12$$

Its total surface area

= $$\Large 6x^{2} = 6 \times \left(12\right) = 72 \ sq \ units$$

Part of solved Volume and surface area questions and answers : >> Elementary Mathematics >> Volume and surface area

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