Cubes

For a cube with side length

s

, the diagonal

d

can be found using the Pythagorean theorem in three dimensions:

d%20%3D%20%5Csqrt%7Bs%5E2%20%2B%20s%5E2%20%2B%20s%5E2%7D%20%3D%20%5Csqrt%7B3s%5E2%7D%20%3D%20s%5Csqrt%7B3%7D

Substituting

s%20%3D%206%20%5C%2C%20%5Ctext%7Bcm%7D

d%20%3D%206%5Csqrt%7B3%7D%20%5C%2C%20%5Ctext%7Bcm%7D

Thus, the diagonal of the cube is

6%5Csqrt%7B3%7D%20%5C%2C%20%5Ctext%7Bcm%7D

Chapter Questions
1 MCQs