SOLUTION: if a box is 28 inches long, 18 inches wide and 8 inches high, what is the longest an object can be to fit in the box diagonally?

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Question 891579: if a box is 28 inches long, 18 inches wide and 8 inches high, what is the longest an object can be to fit in the box diagonally?
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
Pythagorean Theorem in three dimensions

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!
if a box is 28 inches long, 18 inches wide and 8 inches high, what is the longest an object can be to fit in the box diagonally?


Determine the length of the DIAGONAL of the base

The diagonal of the base, along with the height will form the TWO legs of a right triangle. Determine the

length of the hypotenuse of this right triangle and you'll have the length of the object that can fit, diagonally.