Each face of a cube has an area of 4 square units. What is the volume of the cube?

To find the volume of the cube, we first need to determine the length of one side of the cube (s). Since each face of the cube is a square and has an area of 4 square units, we can use the formula for the area of a square:

[ text{Area} = s^2 ]

Setting the area equal to 4, we have:

[ s^2 = 4 ]

To find the side length (s), we take the square root of both sides:

[ s = sqrt{4} = 2 , text{units} ]

Next, we calculate the volume (V) of the cube using the formula for the volume of a cube:

[ V = s^3 ]

Substituting the value of s:

[ V = 2^3 = 8 , text{cubic units} ]

So, the volume of the cube is 8 cubic units.