Discussion
The length, breadth and height of a box are 90 cm, 70 cm and 30 cm, respectively. What is the cost of colouring its outer surface, if the box (without its lid) is coloured at the rate of 15 paise per cm2?
Answer: C
The cost is Rs. 2,385. The box has no lid, so the outer surface to colour is the base plus the four sides: \[lb + 2h(l + b) = 90 \times 70 + 2 \times 30 \times 160\] \[= 6300 + 9600 = 15900\ \text{cm}^2\] At 15 paise per square centimetre the cost is 15900 x 0.15 = Rs. 2,385. If the lid were also coloured, the area would be 22,200 cm squared and the cost Rs. 3,330, which is not an option.
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