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Lateral Surface Area Of Cube Given Total Surface Area And Edge Length Calculator

Lateral Surface Area of Cube Formula:

\[ LSA = TSA - 2 \times le^2 \]

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1. What is the Lateral Surface Area of Cube?

The Lateral Surface Area of a Cube is the total area of all the side faces of the cube, excluding the top and bottom surfaces. It represents the surface area that is visible from the sides of the cube.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ LSA = TSA - 2 \times le^2 \]

Where:

Explanation: The formula subtracts twice the area of one face (since both top and bottom are excluded) from the total surface area to get the lateral surface area.

3. Importance of Lateral Surface Area Calculation

Details: Calculating lateral surface area is important in various engineering and architectural applications where only the side surfaces need to be considered for material estimation, painting, or coating purposes.

4. Using the Calculator

Tips: Enter the total surface area in square meters and edge length in meters. Both values must be positive numbers greater than zero.

5. Frequently Asked Questions (FAQ)

Q1: What's the difference between total surface area and lateral surface area?
A: Total surface area includes all six faces of the cube, while lateral surface area only includes the four side faces, excluding the top and bottom.

Q2: Can lateral surface area be greater than total surface area?
A: No, lateral surface area is always less than total surface area since it excludes two faces of the cube.

Q3: What are the units for lateral surface area?
A: Lateral surface area is measured in square units (m², cm², etc.) depending on the units used for edge length.

Q4: How is this calculation useful in real-world applications?
A: It's useful for calculating material requirements for side surfaces only, such as when painting the sides of a cube-shaped object or applying side paneling.

Q5: What if I have the lateral surface area and need to find total surface area?
A: You can rearrange the formula: \( TSA = LSA + 2 \times le^2 \)

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