A wooden box (open at at top) of thickness 0.5 cm, lenght 21 cm, width 11 cm and height 6 cm is painted on the inside. The expenses of painting are 70 rupees. What is the rate of painting per square centimetre ?
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Answer:
As the box has to be painted from inside, the internal dimensions are:
Length = (21 – 0.5 – 0.5) = 20 cm,
Breadth = (11 – 0.5 – 0.5) = 10 cm,
Height = (6 – 0.5) = 5.5 cm
Total area to painted
= Area of four walls + Area of base
= 2 × (10 × 5.5 + 20 × 5.5) + (20 × 10)
= 2 × (55 + 110) + 200 = 530 square centimetre.
Since the total expense of painting this area is
70 rupees, the rate of painting = 70/530 = 0.13 rupees
= 0.1 rupees approx.
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