Volume Of Hollow Cuboid Given Inner And Outer Breadth Calculator

Formula Used:

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

Height of Hollow Cuboid:

Outer Breadth of Hollow Cuboid:

Inner Breadth of Hollow Cuboid:

Outer Length of Hollow Cuboid:

Volume of Hollow Cuboid:

Unit Converter ▲

Unit Converter ▼

From:	To:

1. What is Volume of Hollow Cuboid?

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 formula:

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

Where:

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

Explanation: This formula calculates the volume by considering the difference between outer and inner dimensions and the height of the hollow cuboid.

3. Importance of Volume Calculation

Details: Calculating the volume of hollow cuboids is crucial in engineering, architecture, and manufacturing for determining material requirements, storage capacity, and structural design considerations.

4. Using the Calculator

Tips: Enter all dimensions in meters. Ensure that outer dimensions are larger than 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 a cuboidal outer surface and a smaller cuboidal cavity inside, creating a hollow space.

Q2: Why is this formula specific to given inner and outer breadth?
A: This formula is derived to efficiently calculate volume when inner and outer breadth dimensions are known, along with height and outer length.

Q3: Can this calculator handle different units?
A: The calculator uses meters as the default unit. For other units, convert all measurements to meters before calculation.

Q4: What if inner dimensions are larger than outer dimensions?
A: The formula requires that outer dimensions are larger than inner dimensions. If this condition is not met, the calculation will not be valid.

Q5: How accurate is this calculation?
A: The accuracy depends on the precision of input measurements. The calculator provides results with up to 4 decimal places for precise calculations.