The surface area of a cube is 150 cm². Its volume is · ABC26GN4843
Subject: General Aptitude · Chapter: Volume and Surface Area · Exam: E.S.I.C. 2006
The surface area of a cube is $150 \mathrm{cm}^{2}$. Its volume is
(a)$64 \mathrm{cm}^{3}$
(b)$125 \mathrm{cm}^{3}$
(c)$150 \mathrm{cm}^{3}$
(d)$216 \mathrm{cm}^{3}$
Answer
Explanation
$$\begin{aligned} 6 a^{2} & =150 \Rightarrow a^{2}=25 \Rightarrow a=5 . \therefore \text { Volume }=a^{3}=5^{3} \mathrm{cm}^{3} \\ & =125 \mathrm{cm}^{3} . \end{aligned}$$
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