What is the total cost of painting if 4 such cuboids are to be painted? Two cuboids with red colour and other two cuboids with green and yellow, respectively.
The length, breadth and height of a cuboid are 10 cm, 8 cm and 2 cm, respectively. All the faces of the cuboid are to be painted. The cost of painting with red colour is Rs. 5 per sq. cm. with green colour is Rs. 6 per sq. cm and with yellow is Rs. 10 per sq. cm. Now, answer the questions.
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Rs. 6032
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Rs. 6496
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Rs. 6022
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Rs. 3016
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None of these
A
Correct answer
Explanation
Total surface area of 1 cuboid = 2 (lb + bh + hl) = 2 (10 x 8 + 8 x 2 + 2 x 10) sq. cm = 2 (80 + 16 + 20) sq. cm = 2 (116) = 232 sq. cm
Total surface area of 2 such cuboids which is to be painted red = 2 x 232 sq cm = 464 sq. cm and the cost of painting will be Rs. (464 x 5) = Rs. 2320
Also, cost of painting 1 cuboid with green colour = Rs. (232 x 6) = Rs. 1392.
Again, cost of painting 1 cuboid with yellow colour = Rs. (232 x 10) = Rs. 2320
Therefore, total cost of painting = Rs. (2320 + 1392 + 2320) = Rs. 6032