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 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.