Question
The total surface area of a cube is $1176\ cm^2$. Find its volume.
✓
Answer
Suppose that the side of cube is $x \ cm$.
Total surface area of cube $=1176\ sq\ cm$
Then $1176=6 x ^2 \Rightarrow x ^2=\frac{1176}{6}=196$
$\Rightarrow x =\sqrt{196}=14$
i.e., the side of the cube is $14\ cm .$
$\therefore$ Volume of the cube $= x ^3=14^3\ cm^3=2744\ cm^3$
Total surface area of cube $=1176\ sq\ cm$
Then $1176=6 x ^2 \Rightarrow x ^2=\frac{1176}{6}=196$
$\Rightarrow x =\sqrt{196}=14$
i.e., the side of the cube is $14\ cm .$
$\therefore$ Volume of the cube $= x ^3=14^3\ cm^3=2744\ cm^3$
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