Question

Which of the following 2D figures will form the given 3D shape when folded without any
overlap?​

Answer 1

Answer:

The objects around us come in various shapes and sizes. In general, we can see shapes such as triangles, squares, and circles everywhere around us. Moreover, shapes such as a sheet of paper, have only length and breadth. Thus such shapes are 2D or two-dimensional. While other shapes such as the shape of a house, have length, breadth, and height. Thus such shapes are 3D or three-dimensional.  Let’s learn more about 2D and 3D shapes!

In geometry, a shape or a figure that has a length and a breadth is a 2D shape. In other words, a plane object that has only length and breadth is 2 dimensional. Straight or curved lines make up the sides of this shape. Also, these figures can have any number of sides. In general, plane figures made of lines are known as polygons. For example, triangle and square are polygons.

3D Shapes

In our day to day life, we see several objects around us which have different shapes. For example, books, ball, ice-cream cone etc. One thing common in these objects is that they all have some length, breadth and height or depth. Thus they have three dimensions and so are known as 3D shapes. The D in 3D stands for dimensional. 3D shapes occupy space. In a world with three dimensions, you can travel forward, backward, right, left, and even up and down.

Answer 2

2D Figures that Form 3D Shapes When Folded Without Overlap:

• Cube Net: A cube net is a 2D representation of a cube that forms a 3D shape when folded without overlap. When you fold the cube net along its lines, the six faces of the cube come together to form a solid cube.

• Square Pyramid Net: A square pyramid net is a 2D representation of a square pyramid that forms a 3D shape when folded without overlap. When you fold the square pyramid net along its lines, the four triangular faces and the base come together to form a solid square pyramid.

• Triangular Prism Net: A triangular prism net is a 2D representation of a triangular prism that forms a 3D shape when folded without overlap. When you fold the triangular prism net along its lines, the three rectangular faces and the two triangular faces come together to form a solid triangular prism.

• Cylinder Net: A cylinder net is a 2D representation of a cylinder that forms a 3D shape when folded without overlap. When you fold the cylinder net along its lines, the two circular bases and the curved surface come together to form a solid cylinder.

These are some of the common 2D figures that can form 3D shapes when folded without overlap. Other examples include cones, spheres, and more complex shapes.

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