Mathematics

Can a pole 6.5 m long fit into the body of a truck with internal dimensions of 3.5 m, 3 m and 4 m?

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Length of diagonal of cuboid = $\sqrt{l^2 + b^2 + h^2}$

$= \sqrt{(3.5)^2 + 3^2 + 4^2} \\[1em] = \sqrt{12.25 + 9 + 16} \\[1em] = \sqrt{37.25} \\[1em] = 6.12 \text{ cm}.$

Since, length of pole cannot be more than the length of diagonal.

Hence, 6.5 m pole cannot be fit into the body of a truck with internal dimensions of 3.5 m, 3 m and 4 m.

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