We have a museum housing valuable antiques. We have a gallery of highly priced or priceless paintings. We have a mall of many showrooms. How to guard them all? How many guards we require? How many CCTV cameras required? A bit of math will help here.
Suppose an exhibition has triangular stalls. Each stall can be guarded by one man because he can easily have a look at the three walls. Hence the formula is,
No. Of guards = whole number part of No. of walls / 3
We know a square hall or rectangular hall with four walls can also be looked after by a single man. Many art galleries and museums have many corners turning at right angles (90 degrees). These galleries can be divided into rectangular halls.
Hence No. of cameras required = whole number part of (1/4 * no. of corners)
Suppose, a mall is made up of a number of rooms. And two rooms have a common door. Then a man standing at the door can watch two rooms at a time. For example, a train may have one guard for every two compartments.
No. of watchman required = 1/2* number of rooms.
A polygon (like a pentagon) shaped hall which has corners outside can be watched by a single person. A star like a shape which has corners inside requires more manpower.
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