Find the maximum length of the road that can be kept in a cuboidal box of sides 30cm,24cm,18cm
(Maximum length of the road that can be kept in a cuboidal box is equal to length of the diagonal of the box)

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Solution

max. length of the rod that can be kept in the box = length of the diagonal of the box.

length of the diagonal = root(l2 + b2 + h2)

= root(302+242+182)

=root(900+576+324)

=root(1800)

~42.426cm

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