Question : Find the total surface area of a cube whose volume is 343 m³.
Option 1: 186 m²
Option 2: 294 m²
Option 3: 196 m²
Option 4: 210 m²
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Correct Answer: 294 m²
Solution :
Given: Volume of a cube = 343 m³
Let $a$ be the side of the cube.
So, $a^3$ = 343 m³
⇒ $a$ = $\sqrt[3]{343}$ = 7 m
Now, the total surface area of a cube
= $6a^2$
= $6×7^2$
= 294 m
2
Hence, the correct answer is 294 m
2
.
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