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Question

If V denotes the volume of a cube and T its surface area, show that: V=T366T.

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Solution

Dear Student,
Here is the solution of your asked query:
Let, a be each edge of cubeThen, volume of cube,V=a3 ...(i)Surface area,T=6a2 ...(ii)R.H.S.=T366T =6a2366×6a2 {using (ii)} =a26×6a =a3 =V {using (i)} So, L.H.S.=R.H.S.
Regards

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