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Question Number 5532 by Rasheed Soomro last updated on 18/May/16

Volume of a cube and its surface-area  are numerically equal.What is the  measure of the side of the cube?

$$\mathrm{Volume}\:\mathrm{of}\:\mathrm{a}\:\mathrm{cube}\:\mathrm{and}\:\mathrm{its}\:\mathrm{surface}-\mathrm{area} \\ $$$$\mathrm{are}\:\mathrm{numerically}\:\mathrm{equal}.\mathrm{What}\:\mathrm{is}\:\mathrm{the} \\ $$$$\mathrm{measure}\:\mathrm{of}\:\mathrm{the}\:\mathrm{side}\:\mathrm{of}\:\mathrm{the}\:\mathrm{cube}? \\ $$$$ \\ $$

Commented by FilupSmith last updated on 18/May/16

Do you mean V=S_A ?  V=x^3   S_A =6x^2   ∴x^3 =6x^2   ∴x=6

$$\mathrm{Do}\:\mathrm{you}\:\mathrm{mean}\:{V}={S}_{{A}} ? \\ $$$${V}={x}^{\mathrm{3}} \\ $$$${S}_{{A}} =\mathrm{6}{x}^{\mathrm{2}} \\ $$$$\therefore{x}^{\mathrm{3}} =\mathrm{6}{x}^{\mathrm{2}} \\ $$$$\therefore{x}=\mathrm{6} \\ $$

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