Question

If it takes one minute to wrap an area of unit meter square, find the time required (in hours) to cover this gift box on all the sides.

Answer 1

The box has to be covered on all $6$ sides, which means the total surface area of the box will be wrapped.

Length of the box $=l=4.5m$
Breadth of the box $=b=3.5m$
Height of the box $=h=5.5m$

$\therefore$ Total surface area $=2(lb+bh+lh)$
$=2(4.5\times 3.5+3.5\times 5.5+4.5\times 5.5)$
$=2(15.75+19.25+24.75)$
$=2\times 59.75=119.5m^2=$ area that needs to be wrapped.

Time taken for wrapping $1m^2=1min$
$\therefore$ Time taken to wrap this box $=119.5\times 1=119.5min\approx 120min=2hours.$