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Perimeter Of Cuboid Given Volume, Length And Width Calculator

Perimeter Of Cuboid Given Volume, Length And Width Formula:

\[ \text{Perimeter} = 4 \times (l + w + \frac{V}{l \times w}) \]

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1. What is Perimeter Of Cuboid Given Volume, Length And Width?

The perimeter of a cuboid given its volume, length, and width is calculated by first determining the height from the volume and then computing the sum of all edges. This provides the total length around the cuboid.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ \text{Perimeter} = 4 \times (l + w + \frac{V}{l \times w}) \]

Where:

Explanation: The formula calculates the height from the given volume, length, and width, then computes the perimeter by summing all edges of the cuboid.

3. Importance of Perimeter Calculation

Details: Calculating the perimeter of a cuboid is important in various fields including construction, packaging, and material estimation where the total boundary length needs to be determined.

4. Using the Calculator

Tips: Enter the length, width, and volume of the cuboid. All values must be positive numbers. The calculator will compute the perimeter based on the inputs.

5. Frequently Asked Questions (FAQ)

Q1: What is a cuboid?
A: A cuboid is a three-dimensional shape with six rectangular faces, where all angles are right angles.

Q2: How is height derived from volume?
A: Height is calculated as volume divided by the product of length and width (\( h = \frac{V}{l \times w} \)).

Q3: What units should I use?
A: Use consistent units for all measurements (e.g., all in meters or all in inches) to ensure accurate results.

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?
A: Ensure all input values are positive numbers and that length and width are not zero to avoid division by zero errors.

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