Question

The cost of painting the whole surface area of a cube at the rate of 10 paise per cm sq is Rs 264.60 then the volume of a cube is

Answer 1

GIVEN :
Cost of painting the whole surface area of a cube = ₹ 264.60 = 264.60 × 100 = 26460 paise
Rate = 10 paise per cm²

Let 'a’ be the side of the cube.

Total cost = Surface area ×  rate
Surface area = Total cost / rate
Surface area = 26460 /10 = 2646
Surface area = 2646 cm²

Surface area of cube = 6a²
2646 = 6a²
a² = 2646/6 = 441
a² = 441
a = √441
a = 21 cm

Volume of cube = side³ = a³
Volume of cube  = 21³ = 21 ×21×21= 9261

Volume of cube = 9261 cm³

Hence, the volume of cube is 9261 cm³.

Answer 2

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