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

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Solution

## A room is $6m$ long, $5m$ broad and $4m$ in height. so the room is in the shape of a cuboid.Area of cuboid $=2bh+2hl$ $=\left(2×20\right)+\left(2×24\right)$ $=88{m}^{2}$Area of paper $=lb$ $=l×0.5m\phantom{\rule{0ex}{0ex}}=0.5l{m}^{2}$Area of cuboid $=$ Area of paper $88=0.5l\phantom{\rule{0ex}{0ex}}l=176m$Therefore, the length of the paper $=176m$.

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