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Question

The volume of a closed cubical tank is 1331 cubic metres. Find the cost of painting its complete surface area from outside at the rate of 10 per square meter.


A

7260

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B

7240

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C

7000

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D

7280

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Solution

The correct option is A

7260


Let the side of the given cubical tank be 'a' metres .

Volume of the given cube is a×a×a

By prime factorization, we get cube root of 1331 as 11

Surface area of each side of a cube is a×a

Total surface area of the cube is 6×a×a

Cost incurred is then 10×6×11×11 = 7260


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