Math Problem Statement

When folded into a cube, which of the following 3 corners will touch?

Solution

The question asks which three corners will touch when the 2D net of the cube shown in the image is folded into a 3D cube.

Let's break down the structure of the cube:

  • The given net has six squares labeled A, B, C, D, E, F, G, and H, representing the six faces of a cube.
  • When the net is folded, certain squares will become adjacent faces of the cube.

From analyzing the pattern:

  • A and B are adjacent along one edge.
  • D and E are adjacent as well, as they share a border.
  • G and F will end up next to each other after folding.
  • H connects to both A and B.

Now, let's identify which combination of three squares meet at a single vertex (corner). Visualizing the fold:

  • When the net folds into a cube, the corners D, B, and C will meet at a single vertex. This happens because D, B, and C are on adjacent faces that share a common corner.

Thus, the correct answer is C: D, B, and C.

Would you like more details on how the net folds, or do you have any other questions?

Here are five related questions to further explore this topic:

  1. What are the steps to fold any 2D net into a cube?
  2. How do you identify which faces will meet at a corner of a cube?
  3. What are some common patterns for 2D cube nets?
  4. How many different ways can you fold a cube from a single net?
  5. How can you create your own cube net to practice folding?

Tip: Practice visualizing the fold by sketching a cube and marking the corners that will meet. This can enhance your spatial reasoning.

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Math Problem Analysis

Mathematical Concepts

Spatial reasoning
Cube net folding

Formulas

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Theorems

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Suitable Grade Level

Grades 4-6