Final answer:
The three-dimensional shape formed by the 360° rotation of a square about one of its sides is a cylinder. This is due to the circular path traced by the rotation, with the side of the square determining the cylinder's height. Hence the correct answer is option 3
Step-by-step explanation:
If a square is rotated 360° about one of its sides, the three-dimensional shape that is created is a cylinder. Unlike a cone which has a pointy end, or a sphere which is perfectly round in all directions, a cylinder is formed when the square’s rotation about a side traces out a circular area while maintaining the side length as the height of the cylinder.
The process of a two-dimensional figure creating a three-dimensional shape through rotation is called a rotation of revolution. When the square rotates, each point on the square follows a circular path. The collection of these paths forms the curved surface of the cylinder, while the sides of the square become the top and bottom circles of the cylinder.
Therefore, the correct answer from the given options is 3) cylinder.