The cost of painting the whole surface area of a cube at the rate or 13 paise per cm² is ₹ 343.98. The volume of the cube is :?
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GIVEN :
Cost of painting the whole surface area of a cube = ₹ 264.60 = 264.60 × 100 = 26460 paise
Rate = 13 paise per cm²
Let 'a’ be the side of the cube.
Total cost = Surface area × rate
Surface area = Total cost / rate
Surface area = 26460 /13= 1895
Surface area = 1895 cm²
Surface area of cube = 6a²
1895 = 6a²
a² = 1895/6 = 315
a² = 315
a = √315
a = 17.74
Volume of cube = side³ = a³
Volume of cube = 17.74³ = 5582cm^3
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