The formula to calculate the Surface to Volume Ratio of Cuboid (RA/V) is:
\[ RA/V = \frac{2 \cdot ((l \cdot w) + (l \cdot h) + (w \cdot h))}{l \cdot w \cdot h} \]
Where:
The Surface to Volume Ratio of Cuboid is the numerical ratio of the total surface area of a Cuboid to the volume of the Cuboid.
Length of Cuboid is the measure of any one of the pair of parallel edges of base which are longer than the remaining pair of parallel edges of the Cuboid.
Width of Cuboid is the measure of any one of the pair of parallel edges of base which are smaller than the remaining pair of parallel edges of Cuboid.
Height of Cuboid is the vertical distance measured from base to the top of Cuboid.
Let's assume the following values:
Using the formula:
\[ RA/V = \frac{2 \cdot ((12 \cdot 6) + (12 \cdot 8) + (6 \cdot 8))}{12 \cdot 6 \cdot 8} \]
Evaluating:
\[ RA/V \approx 0.75 \, \text{per meter} \]
The Surface to Volume Ratio of Cuboid is approximately 0.75 per meter.
| Length (l) (meters) | Width (w) (meters) | Height (h) (meters) | Surface to Volume Ratio (RA/V) (per meter) |
|---|---|---|---|
| 10 | 5 | 7 | 0.8857 |
| 10 | 5 | 8 | 0.8500 |
| 10 | 5 | 9 | 0.8222 |
| 10 | 6 | 7 | 0.8190 |
| 10 | 6 | 8 | 0.7833 |
| 10 | 6 | 9 | 0.7556 |
| 10 | 7 | 7 | 0.7714 |
| 10 | 7 | 8 | 0.7357 |
| 10 | 7 | 9 | 0.7079 |
| 12 | 5 | 7 | 0.8524 |
| 12 | 5 | 8 | 0.8167 |
| 12 | 5 | 9 | 0.7889 |
| 12 | 6 | 7 | 0.7857 |
| 12 | 6 | 8 | 0.7500 |
| 12 | 6 | 9 | 0.7222 |
| 12 | 7 | 7 | 0.7381 |
| 12 | 7 | 8 | 0.7024 |
| 12 | 7 | 9 | 0.6746 |
| 14 | 5 | 7 | 0.8286 |
| 14 | 5 | 8 | 0.7929 |
| 14 | 5 | 9 | 0.7651 |
| 14 | 6 | 7 | 0.7619 |
| 14 | 6 | 8 | 0.7262 |
| 14 | 6 | 9 | 0.6984 |
| 14 | 7 | 7 | 0.7143 |
| 14 | 7 | 8 | 0.6786 |
| 14 | 7 | 9 | 0.6508 |