Question

Find the length, d, in simplest radical form, of the diagonal of a cube with sides of s units.

a) (s√3)
b) (√s)
c) (3s)
d) (s√2)

Answer 1

The length, d, of the diagonal of a cube with sides of s units can be found using the Pythagorean theorem.

Step-by-step explanation:

The length, d, of the diagonal of a cube with sides of s units can be found using the Pythagorean theorem. Drawing a right triangle on a face of the cube, we can see that the length of the diagonal is equal to four times the length of each side, or d = 4s. From the Pythagorean theorem, we have:

s^2 + s^2 = d^2

Simplifying, we get:

2s^2 = d^2