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Edge Length Of Cube Given Face Area Calculator

Formula Used:

\[ l_e = \sqrt{A_{Face}} \]

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1. What is Edge Length of Cube?

The edge length of a cube is the measurement of any of the equal sides of a cube. It is a fundamental geometric property that determines the size and dimensions of the cube.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ l_e = \sqrt{A_{Face}} \]

Where:

Explanation: Since all faces of a cube are squares with equal area, the edge length can be found by taking the square root of the face area.

3. Importance of Edge Length Calculation

Details: Calculating the edge length is essential for determining the cube's volume, surface area, and other geometric properties. It's fundamental in geometry, architecture, and various engineering applications.

4. Using the Calculator

Tips: Enter the face area of the cube in square meters. The value must be positive and greater than zero.

5. Frequently Asked Questions (FAQ)

Q1: What is the relationship between edge length and face area?
A: The face area of a cube is equal to the square of its edge length (A = l²), so the edge length is the square root of the face area.

Q2: Can this formula be used for other shapes?
A: This specific formula applies only to cubes where all faces are perfect squares. Other shapes have different area formulas.

Q3: What units should I use for the calculation?
A: Use consistent units. If face area is in square meters, the edge length will be in meters. The calculator uses meters by default.

Q4: What if I have the total surface area instead of face area?
A: For a cube, divide the total surface area by 6 to get the face area, then use this calculator.

Q5: Does this work for rectangular prisms?
A: No, this formula is specific to cubes where all edges are equal. Rectangular prisms have different length, width, and height.

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