Question

If the cube shown is 1 centimeter on all sides,what is the length of the diagonal,x of the cube ?round to the nearest tenth

Answer 1

Length of the diagonal = 1.73 cm

Explanation:

Side of cube = 1 cm

Length of diagonal = x = ?

The formula used to find length of diagonal of cube is:
`Diagonal=√(3)s` where s is length of side of cube.

We have s = 1

So, Length of Diagonal will be:

`Length\:of\;Diagonal=√(3)s\\Length\:of\;Diagonal=√(3)(1)\\Length\:of\;Diagonal=1.73`

So, Length of the diagonal = 1.73 cm