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 start by determining the length of one side of the cube.

1. The volume ( V ) of a cube is calculated using the formula:

[

V = s^3

]

where ( s ) is the length of one side.

2. Given that the volume is 1 cubic unit:

[

s^3 = 1

]

3. To find ( s ), we take the cube root of 1:

[

s = 1 text{ unit}

]

4. Each face of the cube is a square, and the perimeter ( P ) of a square is given by the formula:

[

P = 4s

]

5. Substituting the value of ( s ):

[

P = 4 times 1 = 4 text{ units}

]

So, the perimeter of one of its faces is 4 units. If you need further assistance, feel free to ask!