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