SOLUTION: find the length of the diagonal of a cube with side length 10cm i don't even know where to start.

Algebra ->  Expressions-with-variables -> SOLUTION: find the length of the diagonal of a cube with side length 10cm i don't even know where to start.      Log On


   

Question 199250: find the length of the diagonal of a cube with side length 10cm
i don't even know where to start.
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
First you find the diagonal of one side.
10^2+10^2=d^2
100+100=d^2
d^2=200
d=sqrt200
d=14.14
Now you have a right triangle with a short side= 10, a lomg side=14.14 & the cube diagonal as the hypotenuse:
10^2+14.14^2=d^2
100+200=d^2
d^2=300
d=sqrt300
d=17.32 for the length of the diagonal of the cube.