A cube has a volume of 1 cubic unit. What is the perimeter of one of its faces?

To find the perimeter of one face of a cube with a volume of 1 cubic unit, we first need to determine the length of one side of the cube.

1. Find the side length: The volume ( V ) of a cube is given by the formula:

[

V = s^3

]

where ( s ) is the length of a side. Since the volume is 1 cubic unit, we have:

[

s^3 = 1

]

Taking the cube root of both sides gives:

[

s = 1 text{ unit}

]

2. Calculate the perimeter of one face: Each face of a cube is a square. The perimeter ( P ) of a square is calculated using the formula:

[

P = 4s

]

Plugging in the side length:

[

P = 4 times 1 = 4 text{ units}

]

Thus, the perimeter of one of the cube’s faces is 4 units.