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Total Surface Area of Cube given Lateral Surface Area and Edge Length Calculator

Formula Used:

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

m

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1. What is the Total Surface Area of Cube?

The Total Surface Area of Cube is the quantity of plane enclosed by the entire surface of the Cube. It includes all six faces of the cube.

2. How Does the Calculator Work?

The calculator uses the formula:

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

Where:

Explanation: The formula calculates the total surface area by adding the lateral surface area to twice the area of one face (since a cube has 6 faces and lateral surface area covers 4 of them).

3. Importance of Total Surface Area Calculation

Details: Calculating total surface area is crucial for various applications including material estimation for construction, packaging design, heat transfer calculations, and many engineering applications.

4. Using the Calculator

Tips: Enter lateral surface area in m², edge length in m. All values must be valid (lateral surface area ≥ 0, edge length > 0).

5. Frequently Asked Questions (FAQ)

Q1: What is 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 top and bottom).

Q2: Can this formula be used for other rectangular prisms?
A: No, this specific formula is only valid for cubes where all edges are equal. For rectangular prisms, a different formula is needed.

Q3: What are the units for surface area measurements?
A: Surface area is typically measured in square units such as m², cm², or ft², depending on the context.

Q4: How accurate is this calculation?
A: The calculation is mathematically exact for perfect cubes. The accuracy depends on the precision of the input measurements.

Q5: Can I use this calculator for cubes with different units?
A: Yes, but ensure all inputs use the same unit system for consistent results.

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