The surface area of this cube is 150 square millimeters. What is the volume?

Let the length of each side of the cube be 'a'.

The surface area of a cube is given by:

SA = 6a^2

We are given that the surface area is 150 square millimeters:

150 = 6a^2

Solving for 'a':

a^2 = 25

a = 5 millimeters

Therefore, the volume of the cube is given by:

V = a^3 = 5^3 = 125 cubic millimeters.

Therefore, the volume of the cube is 125 cubic millimeters.