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Question -

A suitcase with measures 80 cm ├Ч 48 cm ├Ч 24 cm is to be covered with a tarpaulin cloth. How many metres of tarpaulin of width 96 cm is required to cover 100 such suitcases?



Answer -

Measurement of the suitcase = 80 cm ├Ч 48 cm ├Ч 24 cm
l = 80 cm, b = 48 cm and h = 24 cm
Total surface area of the suitcase = 2[lb + bh + hl]
= 2 [80 ├Ч 48 + 48 ├Ч 24 + 24 ├Ч 80]
= 2 [3840 + 1152 + 1920]
= 2 ├Ч 6912
= 13824 cm2
Area of tarpaulin = length ├Ч breadth = l ├Ч 96 = 96l cm2
Area of tarpaulin = Area of 100 suitcase
96l = 100 ├Ч 13824
l = 100 ├Ч 144 = 14400 cm = 144 m
Hence, the required length of the cloth = 144 m.

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