Math Problem Statement
Solution
The puzzle you’ve provided is a classic "cube net" problem, where you need to determine which 3D cube can be folded from the 2D net shown. Here's how to approach this:
-
Examine the Net: The net has six faces in the following colors:
- Top left: Black
- Bottom left: Yellow
- Middle left: Green
- Middle right: Red
- Bottom right: Blue
- Top right: Purple
-
Matching Sides in the Cube: A key insight is that opposite sides of the cube must never touch. The six faces in the net must form adjacent pairs correctly when folded into a cube.
-
Analyze Cube Options:
- Cube A: Shows black adjacent to red, which is correct based on the net.
- Cube B: Shows yellow adjacent to blue, which is incorrect based on the net since yellow and blue are on opposite sides.
- Cube C: Shows black adjacent to green, but black should be adjacent to red or purple instead.
- Cube D: Shows black adjacent to red and yellow, which fits.
- Cube E: Shows black adjacent to green, which is incorrect.
- Cube F: Shows yellow adjacent to blue, which is incorrect since these are opposite sides.
Conclusion: Cube A can be folded from this net.
Would you like further clarification on any step? Here are five related questions to extend this topic:
- How many distinct nets are possible for a cube?
- What are some common strategies to solve cube net problems?
- Can a cube net ever have fewer than 6 faces?
- How can 3D visualization skills improve spatial reasoning for these puzzles?
- How do cube nets relate to geometry in higher dimensions?
Tip: Always check which faces are opposite in a net to eliminate wrong options quickly.
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Spatial reasoning
3D geometry
Nets of cubes
Formulas
-
Theorems
-
Suitable Grade Level
Grades 6-8