6.4. The child placed four identical cubes such that the letters on the sides of the cubes facing him spell out his name (see the figure). Draw how the other letters are arranged on the given net of the cube, and determine the child's name.
![](https://cdn.mathpix.com/cropped/2024_05_06_685f6f9f86911ff70d1bg-1.jpg?height=302&width=1212&top_left_y=2446&top_left_x=432)
Answer: The arrangement of letters - see Fig. 6.4a, and the child's name is Nika.

One could reason, for example, as follows:

Let's look at the first cube from the right and draw the letters A and I on the net (see Fig. 6.4b). Then, looking at the second cube, we draw the letters K and T on the net (see Fig. 6.4c). Finally, by looking at the third cube, we draw the letter N. We check that the fourth cube indeed corresponds to our net.

![](https://cdn.mathpix.com/cropped/2024_05_06_685f6f9f86911ff70d1bg-2.jpg?height=199&width=262&top_left_y=420&top_left_x=319)

Fig. 6.4a

![](https://cdn.mathpix.com/cropped/2024_05_06_685f6f9f86911ff70d1bg-2.jpg?height=202&width=263&top_left_y=415&top_left_x=895)

Fig. 6.4b

![](https://cdn.mathpix.com/cropped/2024_05_06_685f6f9f86911ff70d1bg-2.jpg?height=199&width=259&top_left_y=414&top_left_x=1474)

Fig. 6.4c

Now that we have a net of the cube filled with letters, it is easy to determine which letters are on the sides facing the child: N, I, K, A.

+ the correct arrangement of letters on the net and the correct identification of the child's name (regardless of the presence of explanations)

$\pm$ only the correct arrangement of letters on the net is provided

干 only the correct identification of the child's name is provided