Tyler from St. Joseph The Worker School in Irlam, Salford, sent in this solution to his investigation of boxes. Tyler made the boxes and this enabled him to describe his ideas.
Simply cut out the first square from every corner and record your answer. Next cut out L shapes from the corners recording your answers as you go along. You will find, after recording all of your answers, that the box with the greatest volume is Box 3.
These were the answers that Tyler recorded:
| Height | Length | Width | Volume |
|---|---|---|---|
| 1 | 13 | 13 | 169 |
| 2 | 11 | 11 | 242 |
| 3 | 9 | 9 | 243 |
| 4 | 7 | 7 | 196 |
| 5 | 5 | 5 | 125 |
| 6 | 3 | 3 | 54 |
| 7 | 1 | 1 | 7 |