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Question

The volume of a closed cubical tank is 1331 cubic metre. Given that it costs Rs.10 to paint per square metre, find the cost incurred to paint its complete surface area from outside.


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=Rs. 7260


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