Math Problem Statement
Which net best matches the 3D figure?
Solution
To determine which net best matches the 3D figure given in the image, let's analyze the figure and the nets:
Analysis:
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3D Figure: The figure appears to be a pentagonal prism, which has a pentagon as its top and bottom faces, with five rectangular faces connecting the top and bottom.
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Nets:
- Choice A: This net includes five triangles surrounding a central pentagon, which does not match the 3D shape.
- Choice B: This net includes a star shape, which again does not correspond to the 3D prism.
- Choice C: This net shows a central pentagon with five rectangles attached to its sides, which matches the correct configuration of a pentagonal prism net.
- Choice D: This net has a pentagon and other shapes that do not correspond to the structure of a pentagonal prism.
Conclusion:
The correct answer is C) Choice C because it accurately represents the net of a pentagonal prism.
Would you like more details or have any questions?
Here are some related questions you might find useful:
- How do you identify nets of other common 3D shapes?
- What are some strategies for visualizing 3D shapes from their nets?
- Can you explain the properties of a pentagonal prism in more detail?
- How can you determine if a net will fold into a specific 3D shape?
- What is the significance of understanding 3D nets in geometry?
Tip: When matching nets to 3D shapes, count the number of faces and compare their shapes to ensure they match correctly!
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Math Problem Analysis
Mathematical Concepts
Geometry
3D Shapes
Nets of Solids
Formulas
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Theorems
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Suitable Grade Level
Grades 6-8