A suitcase with measures 40 cm ×24cm×12cm is to be covered with a tarpaulin cloth. How many metres of tarpaulin of width 48 cm is required to cover 100 such suitcases?
Answer is 72 metre
Answers
Answer:
Given ⇒
l=48cm,b=80cm,h=24cm
total surface area of cuboid suitcase =2(lb+bh+hl)=2[(48)(80)+(80)(24)+(48)(24)]
=13824cm
2
⟹ Area of 100 suitcases =100×13824cm
2
Area of rectangle tarpaulin =lb
Meters for tarpaulin =
96
13824×100
=14400 cm =144 m
Answer:
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Step-by-step explanation:
Let the length of the tarpaulin cloth = x cm
Since, the suitcase is cuboidal in shape,
Total surface of the suitcase = 2(lb + bh + hl) .... (1)
Here, l = 80cm, b = 48cm, h = 24cm
Thus, substituting the values in equation (1) we get,
= 2 [(80 × 48) + (48 × 24) + (24 × 80)] cm²
= 2 [3840 + 1152 + 1920] cm²
= 13824 cm²
Total surface area of 100 suitcases
= 100 × 13824 m²
= 1382400 cm²
Area of the tarpaulin cloth required = Total surface area of 100 suitcases = 1382400 cm²
Area of the required tarpaulin cloth = Length × Breadth
1382400 cm² = x × 96 cm
x = 1382400/96 cm = 14400 cm
x = 144 m