MD MERAZ A.

asked • 12/19/16

When Volume of a cube is 648 root 3 cm ^3 .find its total surface area . (Step wise calculation )

Answer it urgently 

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Kenneth S. answered • 12/19/16

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Your question is unclear.  Let's say that you are given the Volume (some number). Then by taking the cube root of that number, you will obtain the side measurement s of the cube.
 
Knowing s, you simply find the T.S.A. = 6s2.
 
(The difficulty is that your statement of V= is unclear.  If you cannot type it in symbolic form, please express it CAREFULLY in words.)
 
 
 
648√3 is the volume of cube so the cube root of that is 6 times cube root of 3 times cube root of 2 squared...I will address this in a new Comment.
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MD MERAZ A.

648√3 is the volume of cube find its lateral surface area ..do calculation and explain 
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12/20/16

Kenneth S.

V = 648•(3½) = 8•81•(3½)  where the SQUARE ROOT OF 3 has been written with a fractional exponent V = s3 
so s = cube root of this V.

Cube root of 8 is 2; cube root of 81 is 3•3^(1/3) and cube root of square root of 3 is 3^(1/6).

Therefore s = 2•3•3^(1/3 + 1/6) =  2•3•3½ = 6√3.
 
You will need to get s2 = 36•3 = 108. Finally, T.S.A. = 6 s2 = 6(108) = 648.
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12/20/16

MD MERAZ A.

Thanks 
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12/20/16

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