Q.

A suitcase with measures 80 cm × 48 cm × 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?

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Detailed Solution

Length of suitcase box, l = 80 cm, 

Breadth of suitcase box, b= 48 cm 

Height of cuboidal box , h = 24 cm 

Total surface area of suitcase box = 2(lb+bh+hl) 

= 2(80×48+48×24+24×80) 

= 2 (3840+1152+1920) = 2×6912 = 13824 cm2

Area of Tarpaulin cloth = Surface area of suitcase

l × b= 13824 

l  ×  96 = 13824   

l = 144

∴, Required tarpaulin for 100 suitcases = 144×100 = 14400 cm = 144 m

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