Find the length of the longest rod that can be placed in a rectangular box measuring 30 cm×24cm×18cm.
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Answer:
Given, length =30 cm, breadth =24 cm, height =18cm
From the question, we have
Maximum length of the rod = Length of the diagonal of the cuboid
=
l
2
+b
2
+h
2
=
30
2
+24
2
+18
2
=
900+576+324
=
1800
=30
2
cm
Therefore, maximum length of a rod is 30
2
cm.
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