Question

A suitcase with measures 80 cm x 48 cm x 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 1

Total surface area of suitcase = 2[(80) (48) + (48) (24) + (24) (80)] 
= 2[3840 + 1152 + 1920]
= 13824 cm² 
Total surface area of 100 suitcases = (13824 × 100) cm² 
= 1382400 cm²
Required tarpaulin = Length × Breadth
1382400 cm² = Length × 96 cm 
Length = (\(\frac{1382400 }{96}\)) cm 
= 14400 cm = 144 m

Thus, 144 m of tarpaulin is required to cover 100 suitcases.