A. Identify the solid figure that can be formed by each net.
To identify the solid figure formed by a net, we first need to understand what a net is. A net is a two-dimensional shape that can be folded to form a three-dimensional solid. Each net is made of shapes (faces) that match the surfaces of a 3D object. Let’s look at some common nets and their matching solids:
The Correct Answer and Explanation is:
1. Net with six equal squares:
This net consists of six connected squares. When folded, these squares create a cube, since all faces are equal in size and shape.
Answer: Cube
2. Net with one rectangle and two triangles on opposite ends:
This type of net forms a triangular prism. The two triangles become the bases, and the rectangle wraps around as the lateral surface.
Answer: Triangular Prism
3. Net with one square and four triangles attached to each side:
This forms a square pyramid. The square is the base, and the four triangles fold up to meet at a point, forming the pyramid’s sides.
Answer: Square Pyramid
4. Net with two circles and a rectangle:
This net creates a cylinder. The two circles form the top and bottom bases, and the rectangle wraps around as the curved surface.
Answer: Cylinder
Explanation
Understanding how nets fold into three-dimensional solids helps develop spatial reasoning, which is essential in geometry. A net is like a blueprint for building a 3D shape. When you see a net, your goal is to visualize how the flat shapes fold up into a solid.
For example, if a net has six equal squares arranged in a T-shaped pattern, you can fold the sides up and see that it forms a cube. A cube has six faces, all squares, and all the same size.
If a net has two congruent triangles and three rectangles, you are likely looking at a triangular prism. The triangles become the two opposite bases, while the rectangles form the sides that connect them.
Similarly, when a square is surrounded by four triangles, they can fold up and meet at a single point above the square, forming a pyramid.
Finally, if the net includes two circles and one rectangle, you are working with a cylinder. The rectangle wraps around to form the curved surface, and the circles cap the top and bottom.
By learning to connect nets to their solids, students develop a better understanding of the properties of 3D shapes and how surface area is calculated. This skill also helps with real-world applications such as packaging design and engineering.
