Question

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

• A. 144 m
• B. 154 cm
• C. 154 m
• D. 144 cm

Answer 1

The correct option is A 144 m

Given, suitcase dimensions $80cm\times 48cm\times 24cm$

Area of $1$ suitcase $=2(lb+bh+hl)=2(80\times 48+48\times 24+24\times 80)$

$=2\times 6912=13824{cm}^2$

Area of $100$ such suitcase $=1382400{cm}^2$

Area of tarpaulin required $=1382400{cm}^2$

$\Rightarrow l\times 96=1382400$

$\Rightarrow l=\frac{1382400}{96}=14400cm$

$\Rightarrow l=14400cmor144m$