Question

If the length of the diagonal of a cube is 6√3 cm, then edge of the cube is

Answer 1

Answer:

The edge of the cube is 6

Step-by-step explanation:

  Basically, look at the attached figure.

  From the square on the top of the cube, from the Pythagorean Theorem, you get $2x^2 = d^2$.

  Then from the triangle in which the cube's diagonal is included, you get $d^2 + x^2 = (6\sqrt{3})^2$.

  So you have two equations and two unknowns. You should be able to do it from here. Some of the possible answers end up being negative, but you know you have to have a positive answer.