Q8 of 24 Page 164

A wooden box has inner dimensions l =6 m, b =8 m and h =9 m and it has a uniform thickness of 10 cm. The lateral surface of the outer side has to be painted at the rate of Rs. 50/ m2. What is the cost of painting?

Given, a wooden box has inner dimensions l =6 m, b =8 m and h =9 m and a uniform thickness of


10 cm.


∴ Length = 6 + 0.20


= 6.2 m


∴ Breadth = 8 + 0.20


= 8.2 m


∴ Height = 9 + 0.20


= 9.2 m


We know, Lateral Surface Area of cuboid = 2h(l+b)


Lateral Surface Area = 2h(l+b)


= 2×9.2×(6.2+8.2)


= 18.4×14.4


= 264.96 m2


The rate of painting lateral surface of the outer side = Rs. 50/m2


∴ Cost of painting = Rs. 50 × 264.96


= Rs. 13248


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