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

Formula Used:

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

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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 represents how much surface area is available per unit volume of the hollow cuboidal structure.

2. How Does the Calculator Work?

The calculator uses the formula:

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

Where:

Explanation: This formula calculates the ratio of total surface area to volume by considering all the external and internal surfaces of the hollow cuboid structure.

3. Importance of Surface to Volume Ratio Calculation

Details: The surface to volume ratio is crucial in various engineering and architectural applications, particularly in heat transfer analysis, structural design, and material efficiency calculations for hollow structures.

4. Using the Calculator

Tips: Enter all dimensions in meters. Height, outer breadth, inner length, and thickness must be positive values greater than zero for accurate calculation.

5. Frequently Asked Questions (FAQ)

Q1: What is a hollow cuboid?
A: A hollow cuboid is a three-dimensional geometric shape that resembles a rectangular box with a hollow interior, having both outer and inner surfaces.

Q2: Why is surface to volume ratio important?
A: This ratio is important in determining heat transfer efficiency, structural stability, and material usage optimization in hollow structures.

Q3: What are typical units for surface to volume ratio?
A: The surface to volume ratio is typically expressed in inverse meters (m⁻¹), as it represents square meters of surface area per cubic meter of volume.

Q4: How does thickness affect the surface to volume ratio?
A: Thickness directly influences both the surface area and volume calculations. Thicker walls generally result in different surface to volume ratios compared to thinner walls.

Q5: Can this calculator be used for other hollow shapes?
A: No, this calculator is specifically designed for hollow cuboids. Other hollow shapes (cylinders, spheres, etc.) have different formulas for calculating surface to volume ratios.

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