Suppose you have a rectangular shipping box that measures 30 cm × 15 cm × 20 cm. What is the longest length of a 1 cm diameter wooden dowel that could fit inside the box? (round to the nearest whole centimeter)

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the box is cuboid in shape.

Longest wooden dowel that could fit the box is equal to length of diagonal of cuboid  

length of diagonal of cuboid  = sqrt(l^2+b^2+h^2)= sqrt(1525)

ngest wooden dowel that could fit the box is equal = 39.05 = 39 cm