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Lateral Surface Area Of Cuboid Given Volume Length And Height Calculator

Lateral Surface Area Formula:

\[ LSA = 2h(l + w) \] \[ \text{Where: } w = \frac{V}{l \times h} \]

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1. What is Lateral Surface Area of Cuboid?

The lateral surface area of a cuboid refers to the area of all the vertical faces of the cuboid, excluding the top and bottom surfaces. It represents the surface area of the sides of the cuboid.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ LSA = 2h(l + w) \] \[ \text{Where: } w = \frac{V}{l \times h} \]

Where:

Explanation: The formula first calculates the width from the given volume, length, and height, then computes the lateral surface area using the standard formula.

3. Importance of Lateral Surface Area Calculation

Details: Calculating lateral surface area is important in various applications such as construction, packaging, material estimation, and engineering design where the side surface area needs to be determined for coating, painting, or material requirements.

4. Using the Calculator

Tips: Enter the volume in cubic meters, length in meters, and height in meters. All values must be positive numbers greater than zero for accurate calculation.

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 cuboid, while lateral surface area only includes the four vertical side faces, excluding the top and bottom surfaces.

Q2: Can this calculator be used for other 3D shapes?
A: No, this calculator is specifically designed for cuboids. Different shapes have different formulas for calculating lateral surface area.

Q3: What units should I use for the inputs?
A: The calculator uses meters for length dimensions and cubic meters for volume. Ensure consistent units for accurate results.

Q4: Why do I need to provide volume instead of width directly?
A: This calculator is designed specifically for the scenario where you know the volume, length, and height, but need to calculate the lateral surface area without knowing the width explicitly.

Q5: What if my cuboid has different units for different dimensions?
A: Convert all measurements to the same unit system before entering them into the calculator to ensure accurate results.

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