Question

A suitcase with measure $80$ cm $\times 48$ cm $\times 24$ cm is to be covered with a trapaulin cloth. How many metres of tarpaulin of width $96$ cm is required to cover $100$ such suitcases?

Answer 1

Given:

$\Rightarrow l\times b\times h=80\times 48\times 24$

$\Rightarrow$$B=96cm$

$\Rightarrow$T.S.A $=2\left[\right(l\times b)+(b\times h)+(l\times l\left)\right]$

$\Rightarrow$T.S.A $=2\left[\right(80\times 48)+(48\times 24)+(24\times 80\left)\right]=13824$ sq cm

$\Rightarrow$T.S.A of $100$ suitcases $=13824\times 100=1382400$ sq cm

$\Rightarrow$Length of tarpaulin $=\frac{1382400}{B}$

$\Rightarrow$Length of tarpaulin $=\frac{1382400}{96}=14400$ cm $=144$ m