Question

A room is $6m$ long, $5m$ broad and $4m$ in height. If all its walls are to be covered with paper $50cm$ wide, the length of the paper is

Answer 1

A room is $6m$ long, $5m$ broad and $4m$ in height. so the room is in the shape of a cuboid.
Area of cuboid $=2bh+2hl$
$=\left(2\times 20\right)+\left(2\times 24\right)$
$=88m^2$
Area of paper $=lb$
$$\begin{gathered} =l\times 0.5m \\ =0.5l{m}^2 \end{gathered}$$
Area of cuboid $=$ Area of paper
$$\begin{gathered} 88=0.5l \\ l=176m \end{gathered}$$
Therefore, the length of the paper $=176m$.