The figure on the side was drawn on cardboard and folded to form a cube.

Which of the alternatives shows the cube thus formed?

![](https://cdn.mathpix.com/cropped/2024_05_01_666a1aec7e447b0a6cbeg-003.jpg?height=269&width=346&top_left_y=294&top_left_x=1546)
(a)

![](https://cdn.mathpix.com/cropped/2024_05_01_666a1aec7e447b0a6cbeg-003.jpg?height=111&width=108&top_left_y=647&top_left_x=460)
(b)

![](https://cdn.mathpix.com/cropped/2024_05_01_666a1aec7e447b0a6cbeg-003.jpg?height=123&width=117&top_left_y=641&top_left_x=775)
(c)

![](https://cdn.mathpix.com/cropped/2024_05_01_666a1aec7e447b0a6cbeg-003.jpg?height=114&width=117&top_left_y=654&top_left_x=1095)
(d)

![](https://cdn.mathpix.com/cropped/2024_05_01_666a1aec7e447b0a6cbeg-003.jpg?height=123&width=134&top_left_y=641&top_left_x=1418)
(e)

![](https://cdn.mathpix.com/cropped/2024_05_01_666a1aec7e447b0a6cbeg-003.jpg?height=117&width=140&top_left_y=667&top_left_x=1712)
The correct option is (b).

We see that cube (a) is the same as cube (e) and cube (c) is the same as cube (d). Since we cannot swap the star with the solid circle while keeping the hollow circle on top, we see that the correct option is (b).