Question 1074013: A rectanguler metal box has internal dimensions of 2cm by 4cm with a height of 3cm. Find the length of the longest needle which can be placed in the box correct to the nearest millimetre.
Answer by jorel1380(3719)   (Show Source):
You can put this solution on YOUR website! First, we find the diagonal of the "floor" of the box, which is:
2²+4²=4+16=20
√20 is the lenght of the floor. Now, we can raise it 3 cm, which gives us a diagonal of:
(√20)²+3²=20+9=29
This gives us:
√29, or 5.38516 cms. as the length of the longest needle that can fit into the box. ☺☺☺☺
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