A solid cube is cut into 27 small cubes of equal volume .Find the ratio of the surface area of the given cube and that of the small cube?
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Let R be the side of bigger cube and r be the same of smaller cubes
ATQ
R^3=27(r^3)
R=3√27(r^3)
R=3r
Surface area
Big=6R^2
Small=6r^2
Ratio=6R^2÷6[r^2]
Or
6[3r]^2÷6(r^2)
9:1
ATQ
R^3=27(r^3)
R=3√27(r^3)
R=3r
Surface area
Big=6R^2
Small=6r^2
Ratio=6R^2÷6[r^2]
Or
6[3r]^2÷6(r^2)
9:1
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