8) B

Let the dashed line be called L.

Let length of each side = 1

We first need to calculate the length of half of the diagonal of one of the faces.

Let diagonal be = D

Using Pythagoras,

D² = 1² + 1²

D² = 1 + 1 = 2

D = √2

Half of D = __√2
__ 2

Imagine the dashed line forming a triangle with the vertex just below.

Using Pythagoras,

L² = 1² + (√2 / 2)²

L² = 1 + (2 / 4) = 1 + (1/2) = 1.5

L = √1.5 = √³⁄₂

So dashed line = √³⁄₂