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Question
The volume of a cube is 343 cm3. Find its total surface area.
Sum
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Solution
Let a be the side length of the cube.
Volume of the cube = 343 cm3
\[\Rightarrow a^3 = 343 = \left( 7 \right)^3 \]
\[ \Rightarrow a = 7 cm\]
∴ Total surface area of the cube =
\[6 a^2 = 6 \times 7 \times 7 = 294 {cm}^2\]
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