Math Problem Statement

Choose all of the shapes below that you could get by cutting some of the edges of a cube and unfolding it.

Solution

The task in the image asks you to select all the nets that could be formed by unfolding a cube. A net of a cube is a two-dimensional shape made from six squares that can be folded to form a cube.

Let's analyze each of the given shapes:

  • Shape A: This arrangement can indeed fold into a cube. The squares are connected in a manner that allows folding along the edges to form a 3D cube.

  • Shape B: This is also a valid net of a cube. The configuration is correct and can be folded along its edges to create a cube.

  • Shape C: This arrangement cannot form a cube. When attempting to fold it, certain squares will overlap, making it impossible to form a cube.

  • Shape D: This is a valid net of a cube as well. The squares are positioned in such a way that they can fold into a cube.

Conclusion: The correct shapes that can form a cube are A, B, and D.

Would you like more details on how to visualize or fold these nets?

Related Questions:

  1. How many different cube nets are possible in total?
  2. Why does shape C not work as a net for a cube?
  3. How can you determine if a shape is a net of a cube?
  4. What are other types of 3D shapes that can be unfolded into nets?
  5. Can you create a net for a shape with more than 6 faces, like a dodecahedron?

Tip: When visualizing cube nets, try imagining folding along the edges and matching adjacent squares to visualize how the cube forms.

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Math Problem Analysis

Mathematical Concepts

Geometry
3D shapes
Cube nets

Formulas

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Theorems

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Suitable Grade Level

Grades 5-7