Mathematics
If the volume of a cube is V m3, its surface area is S m2 and the length of a diagonal is d metres, prove that V = Sd.
Mensuration
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Answer
Let side of cube = a m.
By formula,
Volume of cube (V) = (side)3 = a3,
Surface area (S) = 6(side)2 = 6a2.
Length of diagonal (d) = side = .
∴
Hence, proved that V = Sd.
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