Math Problem Statement
Number of faces, edges, vertex of a triangular prism and a square-based pyramid
Solution
Here’s the breakdown for both 3D shapes:
Triangular Prism
- Faces: 5 (2 triangular + 3 rectangular)
- Edges: 9
- Vertices: 6
Square-based Pyramid
- Faces: 5 (1 square + 4 triangular)
- Edges: 8
- Vertices: 5
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Related Questions:
- How do you derive Euler's formula for polyhedra?
- What are the real-world applications of a triangular prism?
- How can you calculate the surface area of a square-based pyramid?
- What is the difference between a pyramid and a prism?
- How do you find the volume of a triangular prism?
Tip:
To verify the number of faces, edges, and vertices, use Euler’s formula for polyhedra:
where = vertices, = edges, and = faces.
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Math Problem Analysis
Mathematical Concepts
Geometry
Polyhedra
3D Shapes
Formulas
Euler's formula for polyhedra: V - E + F = 2
Theorems
Euler's polyhedron formula
Suitable Grade Level
Grades 6-8