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.