Answer :


the box is as shown in figure


The wood is 3 cm thick


And given length, breadth and height are external which means including the wood thickness


So, to find the inner surface area we need to subtract the wooden thickness from external length, breadth and height


Thus length, breadth and height of inner surface area are as follows


In the length and breadth, we need to subtract 3 from both the sides which means we have to subtract 6 but in the height as the box is open from one end so we need to subtract only 3cm base thickness as seen in the figure


Length = 146 – 6 = 140 cm


Breadth = 116 – 6 = 110 cm


Height = 83 – 3 = 80 cm


The shape of the box is a cuboid and it is open box, therefore, we should subtract the top rectangular surface area from the total inner surface area


Total surface area of cuboid = 2 × (lb + bh + lh) – lb


total surface area of box = 2 × (140×110 + 110×80 + 140×80) – 140×110


= 2 × (15400 + 8800 + 11200) – 15400


= 2 × 35400 – 15400


= 70800 – 15400


= 55400 cm2


Cost of painting 1000 cm2 is Rs 2


Thus, cost of painting 55400 cm2 =


= 55.4 × 2


= 110.8 Rs


Therefore, cost of painting the inner surface = 110.8 Rs


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