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Question

What will be the length of the longest rod which can be placed in a box of
80 cm length, 40 cm breadth and 60 cm height?
Options:
A .  11600
B .  14400
C .  10000
D .  12040
Answer: Option A

What Will Be The Length Of The Longest Rod Which Can Be Plac...



The longest road which can fit into the box will have one end at A and
other end at G (or any other similar diagonal)
Hence the length of the longest rod = AG
‡’
AC = 
8000
 cm

Initially let's find out AC. Consider the right angled triangle ABC

What Will Be The Length Of The Longest Rod Which Can Be Plac...

AG2 = AC2 + CG2


=
8000
2
+
60
2
=
8000
+
3600
=
11600

AG = 
11600
 cm

The length of the longest rod = 
11600
 cm



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