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

Formula Used:

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

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1. What is Volume of Cuboid?

The volume of a cuboid represents the amount of three-dimensional space it occupies. It is calculated by multiplying the length, width, and height of the cuboid.

2. How Does the Calculator Work?

The calculator uses the formula:

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

Where:

Explanation: This formula calculates the volume of a cuboid when the lateral surface area, width, and length are known, by deriving the height from these parameters.

3. Importance of Volume Calculation

Details: Calculating volume is essential in various fields including architecture, engineering, manufacturing, and logistics for determining capacity, storage requirements, and material quantities.

4. Using the Calculator

Tips: Enter lateral surface area in square meters, width in meters, and length in meters. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What is lateral surface area?
A: Lateral surface area is the area of all the sides of a cuboid excluding the top and bottom faces.

Q2: How is this formula derived?
A: The formula is derived by expressing height in terms of lateral surface area, width, and length, then substituting into the standard volume formula.

Q3: What are the units of measurement?
A: All measurements should be in consistent units (meters for length dimensions, square meters for area, and cubic meters for volume).

Q4: Can this calculator handle decimal inputs?
A: Yes, the calculator accepts decimal values for more precise calculations.

Q5: What if I get an error message?
A: Ensure all input values are positive numbers and that width and length are not both zero.

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