Question
A cube is painted from the outside for Rs. 6,912. If the
painting cost is Rs.8 per m², determine the volume of the cube.Solution
ATQ,
Total surface area of the cube = (6912 ÷ 8) = 864 m²
Surface area of a cube = 6a²
(Where, ‘a’ is the length of each edge of the cube)
6a² = 864
⇒ a² = 144
⇒ a = 12 metres
Volume of the cube = a³ = (12)³ = 1728 cm³
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