Math Problem Statement

How many faces does this figure have?

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:

  1. How many edges does this triangular pyramid have?
  2. How many vertices does a triangular pyramid have?
  3. What is the formula for calculating the surface area of a pyramid?
  4. How does the number of faces differ between a triangular and square pyramid?
  5. How is the volume of a triangular pyramid calculated?

Tip: For any polyhedron, Euler's formula relates the number of faces, vertices, and edges: F+VE=2F + V - E = 2.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

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