Volume of Hollow Cuboid Calculator

Volume of Hollow Cuboid Formula:

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

Height of Hollow Cuboid:

Thickness of Hollow Cuboid:

Outer Length of Hollow Cuboid:

Outer Breadth of Hollow Cuboid:

Volume of Hollow Cuboid:

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1. What is the Volume of Hollow Cuboid?

The Volume of Hollow Cuboid is defined as the amount of three dimensional space occupied by Hollow Cuboid. It represents the capacity or the space enclosed within the hollow cuboidal structure.

2. How Does the Calculator Work?

The calculator uses the Volume of Hollow Cuboid formula:

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

Where:

\( V \) — Volume of Hollow Cuboid (m³)
\( h \) — Height of Hollow Cuboid (m)
\( t \) — 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 volume by considering the dimensions of the outer surface and subtracting the hollow interior space.

3. Importance of Volume Calculation

Details: Accurate volume calculation is crucial for determining material requirements, structural capacity, and space utilization in engineering and architectural applications involving hollow cuboidal structures.

4. Using the Calculator

Tips: Enter all dimensions in meters. Height, thickness, outer length, and outer breadth must be positive values. The calculator will compute the volume based on the provided dimensions.

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 interior is hollow, creating a structure with uniform thickness.

Q2: How is this different from a solid cuboid volume?
A: The hollow cuboid volume represents the space occupied by the material itself, not the enclosed empty space, unlike solid cuboid volume which includes both material and interior space.

Q3: What are typical applications of hollow cuboids?
A: Hollow cuboids are commonly used in construction (beams, columns), storage containers, piping systems, and various engineering structures where weight reduction is important.

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

Q5: How accurate is this calculation for real-world applications?
A: The formula provides theoretical volume. In practical applications, factors like material density, manufacturing tolerances, and structural deformations should be considered for precise calculations.