Math Problem Statement
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:
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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.
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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.
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Shape C: This arrangement cannot form a cube. When attempting to fold it, certain squares will overlap, making it impossible to form a cube.
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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:
- How many different cube nets are possible in total?
- Why does shape C not work as a net for a cube?
- How can you determine if a shape is a net of a cube?
- What are other types of 3D shapes that can be unfolded into nets?
- 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