Question

The length,breath and height of a room are 12m,15m and 18m respectively. Determine the length of the longest stick that can measure all the dimensions of the room in exact number of times?

Answer 1

Step-by-step explanation:

The length of the longest stick that can measure all the dimensions of the room will be equal to the length of the diagonal of the room.

Therefore,

$length \: of \: the \: stick \: = \sqrt{ {l}^{2} + {b}^{2} + {h}^{2} } \\ = \sqrt{ {12}^{2} + {15}^{2} + {18}^{2} } \\ = \sqrt{144 + 225 + 324} \\ = \sqrt{693} \\ = 26.32 \: m.$

length