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Cuboid Surface Area Calculator

Surface Area Formula:

\[ SA = 2 \times (l \times w + l \times h + w \times h) \]

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1. What is a Cuboid Surface Area Calculator?

Definition: This calculator computes the total surface area of a cuboid (rectangular prism) based on its length, width, and height.

Purpose: It helps in various practical applications like packaging, construction, and material estimation where surface area calculations are needed.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ SA = 2 \times (l \times w + l \times h + w \times h) \]

Where:

Explanation: The formula calculates the area of all six faces of the cuboid by summing the areas of the three unique face pairs and doubling the result.

3. Importance of Surface Area Calculation

Details: Knowing the surface area is crucial for determining material requirements, heat transfer calculations, painting estimates, and packaging design.

4. Using the Calculator

Tips: Enter the length, width, and height in meters. All values must be positive numbers. The result will be in square meters.

5. Frequently Asked Questions (FAQ)

Q1: What's the difference between surface area and volume?
A: Surface area measures the total area of all surfaces, while volume measures the space occupied by the object.

Q2: Can I use different units for dimensions?
A: All dimensions must be in the same unit. Convert all measurements to meters before calculation for m² result.

Q3: Does this work for cubes?
A: Yes, a cube is a special cuboid where length = width = height.

Q4: How accurate are the results?
A: Results are mathematically precise based on the input dimensions.

Q5: What if my cuboid has openings or cutouts?
A: This calculator assumes a solid cuboid. For complex shapes, you'll need to account for the removed surface areas separately.

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