Surface To Volume Ratio Of Hollow Cuboid Given Inner And Outer Length Calculator

Formula Used:

\[ RA/V = \frac{4 \times \left( (h \times b_{Outer}) + (h \times l_{Outer}) + \left( b_{Outer} \times \frac{l_{Outer} - l_{Inner}}{2} \right) + \left( l_{Outer} \times \frac{l_{Outer} - l_{Inner}}{2} \right) - \left( 2 \times \frac{l_{Outer} - l_{Inner}}{2} \times h \right) - \left( 2 \times \left( \frac{l_{Outer} - l_{Inner}}{2} \right)^2 \right) \right)}{h \times (l_{Outer} - l_{Inner}) \times (l_{Inner} + b_{Outer})} \]

Height of Hollow Cuboid (h):

Outer Breadth of Hollow Cuboid (bOuter):

Outer Length of Hollow Cuboid (lOuter):

Inner Length of Hollow Cuboid (lInner):

Surface to Volume Ratio (RA/V):

Unit Converter ▲

Unit Converter ▼

From:	To:

1. What is Surface to Volume Ratio of Hollow Cuboid?

The Surface to Volume Ratio of a Hollow Cuboid is defined as the numerical ratio of the total surface area of the Hollow Cuboid to the volume of the Hollow Cuboid. It's an important parameter in material science and engineering applications.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

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

Explanation: This formula accounts for the complex geometry of a hollow cuboid, considering both outer and inner dimensions to calculate the precise surface to volume ratio.

3. Importance of Surface to Volume Ratio Calculation

Details: Surface to volume ratio is crucial in heat transfer applications, material strength analysis, and structural engineering design where the relationship between surface area and volume affects performance characteristics.

4. Using the Calculator

Tips: Enter all dimensions in meters. Ensure outer length is greater than inner length. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What units should I use for input values?
A: All dimensions should be entered in meters (m) for consistent results.

Q2: Why is surface to volume ratio important?
A: It affects heat dissipation, structural efficiency, and material properties in engineering applications.

Q3: What if outer length is less than inner length?
A: The calculation requires outer length to be greater than inner length for a valid hollow cuboid geometry.

Q4: Can this calculator handle different units?
A: The calculator expects all inputs in meters. Convert other units to meters before calculation.

Q5: What are typical values for surface to volume ratio?
A: Values vary widely depending on dimensions, but generally range from 0.1 to 10 m⁻¹ for most practical hollow cuboid configurations.