A) 64 m3
B) 216 m3
C) 512 m3
D) 196 m3
Correct Answer: B
Solution :
Key Idea: Volume of cube \[\text{= (side of cube}{{\text{)}}^{\text{3}}}\] Let length of side of the cut)e be a then/volume of cube \[={{a}^{3}}\] Also surface area of cube \[=6{{a}^{2}}\] Given, volume of cube = surface area of cube \[{{a}^{3}}=6{{a}^{2}}\] \[\Rightarrow \] \[a=6m.\] Thus, volume of the cube \[={{(6)}^{3}}=216{{m}^{3}}\]
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