If the volume of a cube is V and the whole surface area is T, prove that V = T - Maths - Heron\s Formula

Question

If the volume of a cube is V and the whole surface area is T, prove
that V = T root 6T / 36

Lovina Kansal · Accepted Answer

Dear student
Let the side of a cube be a
then Volume of cube,V=a3    
(1)and surface area of cube,T=6a2⇒a2=T6⇒a=T6Substitute this value of a in (1), we getV=T63⇒V=T6T6⇒V=T6T6×66⇒V=T6×6T6⇒V=T36T6Hence proved
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If the volume of a cube is V and the whole surface area is T, prove that V = T root 6T / 36