Optimal box
25.4.3

Fig. 1
Optimal box with bottom
B* Optimum width h* Optimum height C Aspect ratio Eqn. 1
Eqn. 2
Eqn. 3
Eqn. 4
| Optimum width | B* | = | mm | ||
| Optimal height | h* | = | mm | ||
| Optimal area | A* | = | mm2 | ||
| Height | href | = | mm | ||
| Surface | Aref | = | mm2 | ||
| Percent loss | q | = | % |
| Volume | Vol | = | L | |||
| Constant | C | = | ||||
| Reference width | Bref | = | mm |
Calc 1
Example 1 You are looking for a rectangular container with a filling volume of 1 L. One side of the base area (C x B) is 1.5 x larger than the desired dimension B --> C = 1.5. The optimal dimension B is calculated to be 103.5 mm and the optimal height to be 62.1 mm.
Due to the available installation space, dimension B is set to 90 mm, which results in a container height of 82.3 mm. This leads to an area loss of 1.9%.