The cost of painting the whole surface area of a cube at the rate of 13 paise per cm2 is ₹343.98. Then, find the volume of the cube.
A
6859cm3
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B
8000cm3
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C
9261cm3
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D
10648cm3
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Solution
The correct option is C9261cm3 Cost of painting the cube = ₹348.98 Rate of painting = 13 paise per cm2 Surface area of the cube =(CostofpaintingRateofpainting) =343.980.13=2646cm2
Let the length of side of the cube be 'a' cm. Then, its surface area =6a2=2646 ⇒a2=26466=441 ∴a=21cm Hence, the volume of the cube =a3=(21)3=9261cm3