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Face Area Of Cube Given Total Surface Area Calculator

Formula Used:

\[ A_{Face} = \frac{TSA}{6} \]

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1. What is Face Area of Cube?

Face Area of Cube is the quantity of plane enclosed by any square face of the Cube. Since all faces of a cube are identical squares, the face area represents the area of one individual face.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ A_{Face} = \frac{TSA}{6} \]

Where:

Explanation: Since a cube has 6 identical square faces, the face area is simply the total surface area divided by 6.

3. Importance of Face Area Calculation

Details: Calculating face area is important in geometry, architecture, and engineering for determining surface properties, material requirements, and structural analysis of cubic objects.

4. Using the Calculator

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

5. Frequently Asked Questions (FAQ)

Q1: Why divide by 6 to get face area?
A: A cube has 6 identical square faces, so dividing the total surface area by 6 gives the area of one face.

Q2: What are the units for face area?
A: Face area is measured in square units (m², cm², etc.), the same as the total surface area input.

Q3: Can this formula be used for rectangular prisms?
A: No, this formula only works for cubes where all faces are identical squares. For rectangular prisms, face areas differ.

Q4: What if I know the side length instead of total surface area?
A: If you know the side length (s), the face area is simply s² (side length squared).

Q5: How accurate is this calculation?
A: The calculation is mathematically exact for perfect cubes, as it's based on geometric principles.

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