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Lateral Surface Area Of Cuboid Given Volume Length And Width Calculator

Lateral Surface Area Formula:

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

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1. What Is Lateral Surface Area Of Cuboid?

The lateral surface area of a cuboid is the total area of all its lateral faces (excluding the top and bottom faces). It represents the surface area of the four vertical sides of the cuboid.

2. How Does The Calculator Work?

The calculator uses the formula:

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

Where:

Explanation: First calculate the height from volume, length and width, then use the lateral surface area formula.

3. Importance Of Lateral Surface Area Calculation

Details: Lateral surface area calculation is important in construction, packaging, manufacturing, and various engineering applications where material requirements for side surfaces need to be determined.

4. Using The Calculator

Tips: Enter volume in cubic meters, length and width in meters. All 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, while lateral surface area only includes the four vertical side faces (excluding top and bottom).

Q2: Can this formula be used for any rectangular prism?
A: Yes, since a cuboid is a type of rectangular prism, this formula applies to all rectangular prisms.

Q3: What units should I use for the inputs?
A: Use consistent units (all in meters for metric system). The result will be in square units of the input.

Q4: What if the cuboid has different dimensions?
A: This formula assumes the cuboid has three distinct dimensions: length, width, and height. For cubes (all sides equal), the formula simplifies.

Q5: How accurate is this calculation?
A: The calculation is mathematically exact based on the input values. Accuracy depends on the precision of your measurements.

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