Question

Q. A suitcase with measures
80cm×48cm×24cm is to be covered with a tarpaulin cloth.
How many metres of tarpaulin of width 96cm is required to cover 100 such suitcases?
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Answer 1

$\huge\underline\textbf{Solution}$

$\sf {Given,}$

• Length(suitcase) = 80 cm
• Breadth(suitcase) = 48 cm
• Height(suitcase) = 24 cm
• Width of tarpaulin = 96 cm

$\sf {To\:Find?}$

• Metres requires to cover 100 such suitcases = ?

$\sf {Solution,}$

→ Length of the suitcase = 80 cm

→ Breadth of the suitcase = 48 cm

→ Height of the suitcase = 24 cm

$\huge\bigstar\sf {Total\:surface\:area\:of\:suitcase\:: \: 2(lb+bh+hl)}$

→ $\sf {2(80cm×48cm+48cm×24cm+24cm×80cm)}$

→ $\sf {2(3840cm+1152cm+1920cm)}$

→ $\sf {2(6912cm)}$

→ $\sf {13824cm^2}$

= Area of tarpaulin cloth = Surface area of suitcase

→ $\sf {l×b=13824 cm^2}$

→ $\sf {l×96=13824 cm^2}$

→ $\frak {l = \frac {13824}{96}}$

→ $\sf {l\:=\:144\:cm}$

= Required tarpaulin for 100 suitcases = 144 × 100 = 14400 cm = 144 m [1 m = 100 cm]

$\sf {\therefore The\:tarpaulin\:cloth\:required\:to\:cover\:100\:suitcases\:is\:144cm}$

Thank You!!