Optimal box II
25.4.4
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 | |||
| Reference width | Bref | = | mm | |||
| Constant | C | = |
Calc 1
Example 1 A rectangular container with a filling volume of 1 L is required. One side of the base area (C x B) is 1.5 times larger than the required dimension B --> C = 1.5. The optimal dimension B is calculated as 82.2 mm and the optimal height as 98.7 mm.
Due to the available installation space, dimension B is set at 100 mm, resulting in a tank height of 67 mm. This leads to an area loss of -4%.