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Answer:
50398 sq cm
Step-by-step explanation:
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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
= Rs. 110.8
Therefore, cost of painting the inner surface = Rs. 110.8...
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