Pretty sure it’s 36 if I’m wrong sorry
Answer:
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The vectors

are linearly independent if the ONLY solution to the following equation:

is
So check the picture below
if we check the solutions or zeros for the equation, we get

and as you can see in the picture, the value of "x" when y = 3.5, or the height of the truck is

the truck, ends up with a clearance of

on either side, so, the maximum clearance, the truck can have, those two clearances added together,
Diagonal of a cube formula: D=a√3 [a=side length]
D = 5√3 ≈ 8.7 cm.