Question : Find the total cost of painting the outside of a closed cuboidal box, which is 7 m long, 5 m wide and 2 m high, at the rate of 2.4 per m2.
Option 1: INR 296.30
Option 2: INR 263.40
Option 3: INR 283.20
Option 4: INR 251.20
Correct Answer: INR 283.20
Solution :
Length, $l = 7$ m
Breadth, $b = 5$ m
Height, $h = 2$m
Rate of painting = INR 2.4 per m
2
Total surface area $=2(lb+bh+lh)$
$= 2 × (7 × 5 + 5 × 2 + 2 × 7)$
$= 2 × (35 + 10 +14)$
$= 2 × 59$
$= 118$ m
2
Total price = 118 × 2.4 = INR 283.20
Hence, the correct answer is INR 283.20.
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