SOLUTION: this is for geometry but i hope you'll answer. please with solution.. here it is: Find the length of the longest stick you can put in a cube if it has an edge of 10 inches.

Question 799786: this is for geometry but i hope you'll answer. please with solution..
here it is:
Find the length of the longest stick you can put in a cube if it has an edge of 10 inches.
Found 2 solutions by solver91311, Alan3354:
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

The length of the longest stick would be the hypotenuse of a right triangle where the legs are the height of the cube and the diagonal across the base of the cube.

The diagonal across the base of the cube is the hypotenuse of an isosceles right triangle with legs measuring 10, therefore having a length of . Verification by use of Pythagoras left as an exercise for the student.

The hypotenuse of a right triangle with legs of and is given by:

Arithmetic left as an exercise for the student. Left in radical form, this is the exact answer presuming that the "stick" has a zero thickness, in other words has the dimensions of a geometric line. Any thickness at all would have to be accounted for by other computations that are somewhat more complex than those presented here.

John

Egw to Beta kai to Sigma
My calculator said it, I believe it, that settles it

Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Find the length of the longest stick you can put in a cube if it has an edge of 10 inches.
-------------
It's the Pythagorean Theorem applied twice.
Call one side the floor. The diagonal of the floor =
=
-----
Then, from either corner to the corner on the ceiling, it's

=
=~ 17.32 inches.
--------------------
You can do it one move,

For a cube,

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