Answer:
Option A (2197 cm³)
Step-by-step explanation:
For a cube with length of each side "a" , it's
- Total Surface Area = 6a²
- Volume = a³
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According to the question ,
Total Surface Area = 1014 cm²
Let the length of each side of cube be 'a'.
Using the formula ,
[tex]6a^{2} =1014[/tex]
[tex]=> a^{2} =\frac{1014}{6} = 169[/tex]
[tex]=> a = \sqrt{169} = +13 \: or -13[/tex]
But length can't be negative . So , length of each side = 13 cm
∴ Volume of cube = 13³ = 2197 cm³
