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The number of faces of a triangular pyra...

The number of faces of a triangular pyramid or tetrahedron is _______.

A

3

B

4

C

5

D

6

Text Solution

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The correct Answer is:
To find the number of faces of a triangular pyramid (also known as a tetrahedron), we can follow these steps: ### Step-by-Step Solution: 1. **Identify the Shape**: We are dealing with a triangular pyramid, which is also called a tetrahedron. 2. **Understand the Formula**: The formula to find the number of faces (F) of a pyramid is given by: \[ F = n + 1 \] where \( n \) is the number of sides of the base of the pyramid. 3. **Determine the Base**: For a triangular pyramid, the base is a triangle. A triangle has 3 sides. 4. **Substitute the Value**: Now, we substitute \( n = 3 \) (the number of sides of the triangle) into the formula: \[ F = 3 + 1 \] 5. **Calculate the Number of Faces**: \[ F = 4 \] 6. **Conclusion**: Therefore, the number of faces of a triangular pyramid or tetrahedron is 4. ### Final Answer: The number of faces of a triangular pyramid or tetrahedron is **4**. ---
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