Little Johnny is the naughtiest child in the kindergarden today. The kind who always wants more than the other children. When he saw that little Tim was playing with the same set of wooden blocks as he had, he stole one cube from Tim. Little Tim complains to the teacher.
The teacher comes to settle the problem. She asks Johnny:
- Did you take a wooden block from Tim?
- I did not!
- Let's see, it seems you have more blocks than those that were in the box I gave you.
- Not true. They were all in the box!
- Really? OK, show me how they all fit in the box. If they fit, you are forgiven. But if you can't put them back, you will be punished for stealing AND for lying.
Johnny is cornered. He has to find a solution fast. He starts to arrange the blocks in the box, ... very ... slowly ..., shuffling the blocks around. But Johnny is not only naughty, he is also clever. Even though it seemed impossible, he finds a way to fit all the blocks in the box.
Show me how he did.
Here are the blocks
And here is the box. At scale with the blocks.
Note: all blocks are one unit high, the same as the depth of the box. The small squares represent cubes. The narrow blocks at the right have the same height and cannot be stacked on top of each other to save space. Think of it as a 2D problem.
Disclaimer: being clever is no excuse for stealing and lying. These are still bad. Don't do it.
Addendum: I wasn't specific about the size of the box. Maybe I should have. The picture depicts a box of size 8.10 precisely, so that is what I was hoping for. But feel free to post your best solution, and upvote those you think are nice.