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.

7260

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7240

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7000

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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 $a \times a \times a$

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

Surface area of each side of a cube is $a \times a$

Total surface area of the cube is $6 \times a \times a$

Cost incurred is then $10 \times 6 \times 11 \times 11$ = ₹ 7260

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