Surface Area of Cuboid

Chapter 11 Class 8 Mensuration
Concept wise

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### Transcript

Ex 11.3, 2 A suitcase with measures 80 cm Γ 48 cm Γ 24 cm is to be covered with a tarpaulin cloth. How many meters of tarpaulin of width 96 cm is required to cover 100 such suitcases? Given, Length of suitcase = π = 80 cm Breadth of suitcase = π = 48 cm & Height of suitcase = β = 24 cm As tarpaulin cloth covers the suitcase. β΄ Area of cloth required to cover 1 suitcase = Total surface area of 1 suitcase Total surface area of 1 suitcase = Total surface area of cuboid = 2(ππ+πβ+βπ) = 2(80Γ48+48Γ24+24Γ80) = 2(3840+1152+1920) = 2Γ6912 = 13824 ππ^2 Now, we need to find how many meters of tarpaulin of width 96 cm is required to cover 100 such suitcases So, Area of tarpaulin = 100 Γ Area of 1 suitcase Since Tarpaulin is a rectangle with Width = 96 cm and Length we need to find So, Area of tarpaulin = 100 Γ Area of 1 suitcase 96 Γ Length = 100 Γ 13824 Length = 100 Γ 13824/96 Length = 100 Γ 6912/48 = 100 Γ 3456/24 = 100 Γ 1728/12 = 100 Γ 144 Length = 14400 cm Length = 14400 cm Length = 14400 Γ 1/100 m Length = 144 m β΄ 144 m of cloth is required.