Math Problem Statement
Solution
The question asks to identify the polyhedron that corresponds to the given net. The net shown in the top part of the image is a series of equilateral triangles arranged to form a closed 3D shape when folded.
Analyzing each option:
- Option (a) shows an octahedron, which has eight equilateral triangular faces. This net does not correspond to the structure of an octahedron.
- Option (b) is a tetrahedron, which has four triangular faces. This net could correspond to a tetrahedron if folded correctly.
- Option (c) shows a triangular prism, which has rectangular faces in addition to triangular bases. The net provided lacks any rectangular faces, so this is not a match.
- Option (d) depicts a pentagonal pyramid, which has a pentagonal base and triangular faces. This net also does not match a pentagonal pyramid.
The correct answer is therefore (b), the tetrahedron, as it matches the triangular structure and can be folded into a shape with four triangular faces.
Would you like further clarification on the shapes involved or a deeper breakdown?
Related Questions
- What are the characteristics of a tetrahedron?
- How many faces does an octahedron have?
- What types of polyhedra have triangular faces?
- How can you determine if a net corresponds to a specific polyhedron?
- What are some examples of nets that can form a cube?
Tip: When matching nets to polyhedra, count the faces and examine the shape and layout of the net to determine if it can be folded to form the intended 3D shape.
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Math Problem Analysis
Mathematical Concepts
Polyhedrons
Nets of 3D shapes
Geometry
Formulas
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Theorems
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Suitable Grade Level
Grades 6-8
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