if your room has equal length, breadth and height of 315 cm, then find the longest pole that can be placed in your room
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In the above figure, BH is the diagonal of a cuboid.
A cuboid having length = l, breadth = b, height = h then the formula of the diagonal of a cuboid is:
l2+b2+h2−−−−−−−−−√
And the dimensions of a room are given as 10m×10m×5m where l = 10m, b = 10m and c = 5m then substituting the values of l, b and h in the above expression we get,
(10)2+(10)2+(5)2−−−−−−−−−−−−−−−−√=100+100+25−−−−−−−−−−−−√=225−−−√=15
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