The Length of the Longest Rod

Geometry Level pending

Find the length of the longest of the rod in dm that can be fitted into a rectangular cuboidal box of dimensions 6dm(width), 8 dm(length) and 7.5 dm(height).


The answer is 12.5.

Programmer 04 by Programmer 04 , 21, India

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2 solutions

Mehul Arora
Oct 25, 2014

The longest rod that can be fit into the cuboid of these dimensions will fit as its diagonal.

The diagonal of a cuboid= (sqrt) L^2+B^2+H^2

= (sqrt)36dm +64dm +56.25dm= sqrt(156.25) = 12.5

Answer= 12.5

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Archiet Dev
May 10, 2014

The formula For the diagonal of a cuboid is root L^2 + b^2 + h ^2 L,B & H are the sides of cuboid

take it in action

root 36 + 64 +56.25

root 156.25

12.5 dm

So the Answer is 12.5 dm

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