Math Problem Statement
Solution
The shape in the image is a triangular pyramid, also known as a triangular-based pyramid or tetrahedron. This type of pyramid has the following characteristics:
- It has 4 faces:
- 1 triangular base.
- 3 triangular side faces.
Thus, the number of faces is 4.
Would you like further details or have any questions?
Here are five related questions to think about:
- How many edges does this triangular pyramid have?
- How many vertices does a triangular pyramid have?
- What is the formula for calculating the surface area of a pyramid?
- How does the number of faces differ between a triangular and square pyramid?
- How is the volume of a triangular pyramid calculated?
Tip: For any polyhedron, Euler's formula relates the number of faces, vertices, and edges: .
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Math Problem Analysis
Mathematical Concepts
Geometry
3D Shapes
Pyramids
Formulas
Face Count Formula for Polyhedra
Euler's Formula (F + V - E = 2)
Theorems
Polyhedral Formula
Suitable Grade Level
Grades 5-7
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