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Question

An open box is made of wood 3 cm thick its external Length breadth and height are 1.46 m 1.16 m 8.3 CM respectively when is the cost of painting the inner surface of the box at rupees 50 per 100 cm square

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Solution

Given thickness of wood = 3 cm
Length of open box = 1.46 m = 146 cm
Breadth of open box = 1.16 m = 116 cm
Height of open box = 8.3 dm = 83 cm
Inner length, l = outer length – twice width
= 146 – 6 = 140cm
Outer breath = 116 – (3+3)= 110 cm
Outer height = 83 – 3 = 80 cm [since it is an open box]
Area of inner surface = 2(lb + bh + hl) – lb
= 2[140 x 110 + 110 x 80 + 80 x 140] – [140x 110]
= 55400 sq cm
Cost of painting inner surface = Rs (50/100) x (55400/100) = Rs 277.0


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