Suitcase - rod

The trunk of a car has the shape of a cuboid with sides 1.6m x 1.2m x 0.5m (width, depth, height). Determine the longest thin rod that can be placed on the bottom.

Correct answer:

d =  2.06 m

Step-by-step explanation:

$$\begin{gathered} a=1.6\text{m} \\ b=1.2\text{m} \\ c=0.5\text{m} \\ {d}^2=a^2+b^2+c^2 \\ d=\sqrt{a^2+b^2+c^2}=\sqrt{1.6^2+1.2^2+0.5^2}=2.06\text{m} \end{gathered}$$

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