## Task A-3.2.

Four cubes with edge lengths 1, 2, 3, and 4 are placed next to each other as shown in the figure. Determine the length of the segment $\overline{X Y}$ that lies within the cube with an edge length of 3.

![](https://cdn.mathpix.com/cropped/2024_05_30_d2ed3ab414570539c3ebg-06.jpg?height=345&width=694&top_left_y=1204&top_left_x=1109)
Scoring: Calculating $|X Y|$ is worth 2 points. Explaining that $X Y$ intersects the cube of edge 3 on the left and right sides of the cube is worth 1 point. Concluding that the desired segment is $\frac{3}{10}|X Y|$ is worth 1 point, and the explanation is worth another 1 point. The final result is worth 1 point.