Question

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?​

Answer 1

Question ::-

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 ?

Given ::-

• Suitcase measure = 80 cm × 48 cm × 24 cm

• Width of tarpaulin = 96cm

To find ::-

• How many metres of tarpaulin of width 96 cm is required to cover 100 such suitcases?

Solution ::-

Measurement of the suitcase

= 80 cm × 48 cm × 24 cm

• l = 80 cm,
• b = 48 cm
• h = 24 cm

____________

Total surface area of the suitcase

= 2[lb + bh + hl]

= 2 [80 × 48 + 48 × 24 + 24 × 80]

= 2 [3840 + 1152 + 1920]

= 2 × 6912

= 13824 ${cm}^{2}$

___________

Area of tarpaulin

= length × breadth

= l × 96 = 96l ${cm}^{2}$

______

Area of tarpaulin = Area of 100 suitcase

96l = 100 × 13824

l = 100 × 144

= 14400 cm

= 144 m

Hence, the required length of the cloth = 144 m.