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Width Of Cuboid Given Lateral Surface Area Calculator

Formula Used:

\[ Width = \frac{Lateral\ Surface\ Area - (2 \times Height \times Length)}{2 \times (Height + Length)} \]

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1. What is the Width of Cuboid Calculation?

The width of a cuboid given its lateral surface area is calculated using the geometric relationship between the lateral surface area and the dimensions of the cuboid. This calculation is essential in various engineering and architectural applications.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ Width = \frac{Lateral\ Surface\ Area - (2 \times Height \times Length)}{2 \times (Height + Length)} \]

Where:

Explanation: The formula derives from the lateral surface area formula of a cuboid and solves for the width dimension.

3. Importance of Width Calculation

Details: Accurate width calculation is crucial for material estimation, structural design, and spatial planning in construction and manufacturing projects.

4. Using the Calculator

Tips: Enter lateral surface area in square units, height and length in units. All values must be positive numbers greater than zero.

5. Frequently Asked Questions (FAQ)

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

Q2: Can this formula be used for any cuboid?
A: Yes, this formula applies to all rectangular cuboids regardless of their specific dimensions.

Q3: What units should I use for the inputs?
A: Use consistent units throughout the calculation (e.g., all in meters, all in inches).

Q4: What if I get a negative result?
A: A negative result indicates inconsistent input values where the given lateral surface area cannot form a valid cuboid with the provided height and length.

Q5: How accurate is this calculation?
A: The calculation is mathematically precise based on the input values provided.

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