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

Formula Used:

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

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1. What is Perimeter of Cuboid?

The perimeter of a cuboid refers to the total length around its outer edges. For a cuboid with given lateral surface area, length, and width, the perimeter can be calculated using a specific formula that relates these parameters.

2. How Does the Calculator Work?

The calculator uses the formula:

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

Where:

Explanation: This formula calculates the perimeter by considering both the base perimeter and the contribution from the lateral surface area relative to the sum of length and width.

3. Importance of Perimeter Calculation

Details: Calculating the perimeter of a cuboid is important in various engineering and architectural applications, particularly when dealing with material requirements, framing, and structural design where edge lengths need to be determined.

4. Using the Calculator

Tips: Enter the length and width of the cuboid, along with its lateral surface area. All values must be positive numbers. The calculator will compute the perimeter based on these inputs.

5. Frequently Asked Questions (FAQ)

Q1: What is the difference between perimeter and surface area?
A: Perimeter measures the total length around a shape, while surface area measures the total area covered by all surfaces of a 3D object.

Q2: Can this formula be used for all cuboids?
A: Yes, this formula applies to all rectangular cuboids where length, width, and lateral surface area are known.

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

Q4: How accurate is this calculation?
A: The calculation is mathematically exact based on the input values, assuming they are measured accurately.

Q5: Can I calculate perimeter if I only know volume?
A: No, this specific calculation requires length, width, and lateral surface area. Different formulas would be needed if only volume is known.

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