Height of Hollow Cuboid Calculator

Height of Hollow Cuboid Formula:

\[ h = \frac{V}{2 \times t \times (l_{Outer} + b_{Outer} - (2 \times t))} \]

Volume of Hollow Cuboid:

m³

Thickness of Hollow Cuboid:

Outer Length of Hollow Cuboid:

Outer Breadth of Hollow Cuboid:

Height of Hollow Cuboid:

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1. What is the Height of Hollow Cuboid Formula?

The Height of Hollow Cuboid formula calculates the vertical dimension of a hollow cuboid given its volume, thickness, outer length, and outer breadth. It's derived from the volume formula of a hollow cuboid structure.

2. How Does the Calculator Work?

The calculator uses the Height of Hollow Cuboid formula:

\[ h = \frac{V}{2 \times t \times (l_{Outer} + b_{Outer} - (2 \times t))} \]

Where:

\( h \) — Height of Hollow Cuboid (m)
\( V \) — Volume of Hollow Cuboid (m³)
\( t \) — Thickness of Hollow Cuboid (m)
\( l_{Outer} \) — Outer Length of Hollow Cuboid (m)
\( b_{Outer} \) — Outer Breadth of Hollow Cuboid (m)

Explanation: The formula calculates the height by dividing the volume by the product of twice the thickness and the sum of outer length and breadth minus twice the thickness.

3. Importance of Height Calculation

Details: Accurate height calculation is crucial for structural design, material estimation, and volume optimization in hollow cuboidal structures used in construction and manufacturing.

4. Using the Calculator

Tips: Enter all dimensions in meters. Ensure volume, thickness, outer length, and outer breadth are positive values. The thickness should be less than half the smaller of outer length or outer breadth for valid results.

5. Frequently Asked Questions (FAQ)

Q1: What is a hollow cuboid?
A: A hollow cuboid is a three-dimensional shape with a cuboidal outer surface and a smaller cuboidal hollow space inside, maintaining uniform thickness throughout.

Q2: When is this formula applicable?
A: This formula is applicable when you know the volume, thickness, outer length, and outer breadth of a hollow cuboid and need to find its height.

Q3: What are the measurement units?
A: All measurements should be in consistent units (typically meters for length dimensions and cubic meters for volume).

Q4: Are there any limitations to this formula?
A: The formula assumes uniform thickness and perfect cuboidal shapes. It may not be accurate for irregular or non-uniform hollow structures.

Q5: Can this be used for imperial units?
A: Yes, but all measurements must use the same unit system consistently (e.g., all in feet and cubic feet).