Question

The length of the longest pole that can be kept inside a room of dimensions $12m\times 3\sqrt{3}m\times 5m$ is:

• A. $10m$
• B. $12m$
• C. $16m$
• D. $14m$

Answer 1

The correct option is D $14m$

Length of the longest pole that can be put in a room $=$ Length of the diagonal inside the room.

Length of the diagonal $=\sqrt{l^2+b^2+h^2}$

$=\sqrt{{12}^2+(3\sqrt{3}{)}^2+5^2}$

$=\sqrt{144+27+25}$

$=\sqrt{196}$

$=14m$