Inner Length of Hollow Cuboid given Outer Length, Outer and Inner Breadth Calculator

Formula Used:

\[ l_{Inner} = l_{Outer} - (b_{Outer} - b_{Inner}) \]

Outer Length of Hollow Cuboid:

Outer Breadth of Hollow Cuboid:

Inner Breadth of Hollow Cuboid:

Inner Length of Hollow Cuboid:

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1. What is the Inner Length of Hollow Cuboid?

The Inner Length of Hollow Cuboid is the length of the inner cuboidal surface or the longer edge length of the base rectangular face of the inner surface of the Hollow Cuboid. It is an important dimension in determining the internal volume and structural properties of hollow cuboidal objects.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ l_{Inner} = l_{Outer} - (b_{Outer} - b_{Inner}) \]

Where:

\( l_{Inner} \) — Inner Length of Hollow Cuboid (m)
\( l_{Outer} \) — Outer Length of Hollow Cuboid (m)
\( b_{Outer} \) — Outer Breadth of Hollow Cuboid (m)
\( b_{Inner} \) — Inner Breadth of Hollow Cuboid (m)

Explanation: This formula calculates the inner length based on the outer length and the difference between outer and inner breadths, assuming uniform wall thickness.

3. Importance of Inner Length Calculation

Details: Calculating the inner length is crucial for determining the internal volume of hollow cuboids, which is important in various engineering applications, container design, and structural analysis where hollow sections are used.

4. Using the Calculator

Tips: Enter all dimensions in meters. Ensure that the outer dimensions are larger than the corresponding inner dimensions. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What is a hollow cuboid?
A: A hollow cuboid is a three-dimensional shape with six rectangular faces where the inner part is hollow, creating a uniform thickness wall structure.

Q2: When is this formula applicable?
A: This formula applies when the wall thickness is uniform and you need to calculate the inner length from known outer dimensions and inner breadth.

Q3: What are the units used in this calculation?
A: The calculator uses meters (m) for all dimensions, but the formula works with any consistent unit of measurement.

Q4: Can this formula be used for non-uniform wall thickness?
A: No, this formula assumes uniform wall thickness. For non-uniform thickness, more complex calculations are required.

Q5: What are practical applications of hollow cuboids?
A: Hollow cuboids are used in construction (beams, columns), packaging (boxes, containers), and various engineering structures where weight reduction is important while maintaining strength.