Math Problem Statement
Solution
Let’s analyze the image step-by-step:
Solids:
- Solid a: Cube (6 square faces)
- Solid b: Square pyramid (square base, 4 triangular faces)
- Solid c: Tetrahedron (4 triangular faces)
Nets:
-
Net 1: This net has 6 square faces, which matches a cube. Thus, this net folds into Solid a.
-
Net 2: This net has one triangle and one circular part; it doesn’t correspond to any of the solids shown. Thus, the correct answer for this net is None.
-
Net 3: This net has 5 faces, with 4 triangular faces around a central square. It folds into a square pyramid. Thus, this net corresponds to Solid b.
-
Net 4: This net consists of 4 triangular faces, which forms a tetrahedron. Thus, it matches Solid c.
Summary of Answers:
- Solid a (cube)
- None
- Solid b (square pyramid)
- Solid c (tetrahedron)
Would you like further explanation on any of the answers, or do you have any specific questions?
Follow-up questions:
- What are the properties of a cube in terms of its faces, edges, and vertices?
- Can you describe the net of a tetrahedron and how it folds?
- How does a square pyramid differ from a tetrahedron?
- How many edges and vertices does a square pyramid have?
- Can a cube have different types of nets, or is there only one possible net?
Tip:
Visualizing how a 2D net folds into a 3D shape is easier if you focus on the base and how the faces connect around it.
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Geometry
3D Shapes
Nets of Solids
Formulas
-
Theorems
Euler's Polyhedron Formula
Suitable Grade Level
Grades 5-7