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Total Surface Area Of Cuboid Given Volume, Length And Width Calculator

Formula Used:

\[ Total Surface Area = 2 \times (Length \times Width + \frac{Volume}{Length} + \frac{Volume}{Width}) \]

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1. What Is Total Surface Area Of Cuboid?

The total surface area of a cuboid is the sum of the areas of all six rectangular faces. It represents the complete external surface area of the three-dimensional rectangular object.

2. How Does The Calculator Work?

The calculator uses the formula:

\[ Total Surface Area = 2 \times (Length \times Width + Length \times Height + Width \times Height) \]

Where height is calculated from volume using:

\[ Height = \frac{Volume}{Length \times Width} \]

Explanation: The formula accounts for all six faces of the cuboid, with pairs of opposite faces having equal areas.

3. Importance Of Surface Area Calculation

Details: Surface area calculations are essential in various fields including construction, packaging, manufacturing, and material estimation for painting or coating surfaces.

4. Using The Calculator

Tips: Enter volume in cubic meters, length and width in meters. All values must be positive numbers. The calculator will compute the height and total surface area.

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, while lateral surface area only includes the four vertical faces (excluding top and bottom).

Q2: Can this calculator be used for cubes?
A: Yes, a cube is a special type of cuboid where all dimensions are equal. Simply enter the same value for length and width.

Q3: What units should I use for the inputs?
A: Use consistent units (e.g., all in meters for length measurements and cubic meters for volume). The result will be in square units of the same measurement system.

Q4: How accurate is the calculation?
A: The calculation is mathematically precise based on the inputs. Ensure accurate measurements for reliable results.

Q5: Can I calculate surface area if I know different dimensions?
A: Yes, there are different formulas based on which dimensions you know. This calculator specifically uses volume, length, and width.

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