If the surface area of a cube is 13254 cm², then the length of its diagonal is · ABC26GN4850

Subject: General Aptitude · Chapter: Volume and Surface Area

If the surface area of a cube is $13254 \mathrm{cm}^{2}$, then the length of its diagonal is

(a)$44 \sqrt{3} \mathrm{cm}$

(b)$45 \sqrt{3} \mathrm{cm}$

(c)$46 \sqrt{3} \mathrm{cm}$

(d)$47 \sqrt{3} \mathrm{cm}$

Answer

Answer (as printed): D

Explanation

$6 a^{2}=13254 \Rightarrow a^{2}=2209 \Rightarrow a=\sqrt{2209}=47$. ∴ Length of diagonal $=\sqrt{3} a=47 \sqrt{3} \mathrm{cm}$.

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