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Which is the longest stick that can be contained inside a cube with side length 1 m?...
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High School Teacher
What you are searching is the longest line inside the cube which is of course space diagonal.
Formula for the length of space diagonal of a cuboid is
where `a,` `b` and `c` are lengths of the edges. Since cube has all equal sides formula for space diagonal of a cube is
Hence if `a=1"m"` then
`d=1sqrt3=sqrt3approx1.732` ` `
The length of the longest stick that can be containdes in cube with side length of 1m is `sqrt3"m."`
Posted by tiburtius on November 5, 2013 at 9:27 PM (Answer #1)
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