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

Formula Used:

\[ Outer\ Breadth\ of\ Hollow\ Cuboid = Inner\ Breadth\ of\ Hollow\ Cuboid + (Outer\ Length\ of\ Hollow\ Cuboid - Inner\ Length\ of\ Hollow\ Cuboid) \] \[ b_{Outer} = b_{Inner} + (l_{Outer} - l_{Inner}) \]

Inner Breadth of Hollow Cuboid:

Outer Length of Hollow Cuboid:

Inner Length of Hollow Cuboid:

Outer Breadth of Hollow Cuboid:

Unit Converter ▲

Unit Converter ▼

From:	To:

1. What is Outer Breadth of Hollow Cuboid?

The Outer Breadth of Hollow Cuboid is the breadth of the outer cuboidal surface or the shorter edge length of the base rectangular face of the outer surface of the Hollow Cuboid. It represents the measurement of the shorter side of the outer rectangular face of a hollow cuboid structure.

2. How Does the Calculator Work?

The calculator uses the formula:

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

Where:

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

Explanation: This formula calculates the outer breadth by adding the difference between outer and inner lengths to the inner breadth, maintaining the proportional relationship between the dimensions of the hollow cuboid.

3. Importance of Outer Breadth Calculation

Details: Calculating the outer breadth is essential for determining the complete dimensions of hollow cuboidal structures, which is crucial in engineering design, architectural planning, and manufacturing processes where hollow sections are used.

4. Using the Calculator

Tips: Enter all dimensions in meters. Ensure that the outer length is greater than or equal to the inner length, and all values are non-negative. The calculator will compute the outer breadth based on the provided inputs.

5. Frequently Asked Questions (FAQ)

Q1: What is a hollow cuboid?
A: A hollow cuboid is a three-dimensional geometric shape that has a cuboidal outer surface and a smaller cuboidal void inside, creating a hollow space within the structure.

Q2: Why is the outer breadth important?
A: The outer breadth helps determine the overall size and space requirements of hollow cuboidal objects, which is important for storage, transportation, and structural design considerations.

Q3: Can this formula be used for any hollow cuboid?
A: Yes, this formula applies to all hollow cuboids where the inner and outer surfaces are parallel and the thickness is consistent along the length dimension.

Q4: What units should I use for the inputs?
A: The calculator uses meters as the default unit, but you can use any consistent unit system as long as all inputs are in the same units.

Q5: What if the outer length is less than the inner length?
A: The formula requires that outer length must be greater than or equal to inner length. If outer length is less than inner length, it would represent an invalid geometric configuration.