The puzzle is as follows:
Assume that you have this peculiar toy. This toy is composed by many plastic pieces which is shown in the figure from below, all of them are cubes. You can use as many as you please. The task is that with them you must make a figure similar to type 3. How many of these pieces at minimum you require to do so?. The condition is that you must use a piece of each type.
The choices given are:
- 12 pieces
- 6 pieces
- 5 pieces
- 8 pieces
This puzzle comes from an old mid 1980s APA IQ test timed cards belonging to Leon Thurstone's/Raymond Catell's psychometric exam.
My spatial abilities are not good, and I don't know if there is a procedure for how to solve these without having the actual figure.
My best guess is that to make the type three figure you must have a tower which is in the ratio of 1 to 2.
I could use type 1 two times and put them one over the other making a compact box of 2×3×2 cubes.
Then I would put two type 2, one next to the other, and finally type 3 two times again.
Thus I'm getting a set of 6 pieces. But the resultant figure isn't exactly similar to type three. Can someone help me? It would be really helpful for answers to include a drawing as it would help me to better visualize the final figure.