A match box exhibits

Options

A. Cubic geometry
B. Monoclinic geometry
C. Orthorhombic geometry
D. Tetragonal geometry

Explanation

To solve the question regarding the geometry exhibited by a matchbox, we can analyze the properties of its shape and compare them with the characteristics of different crystal systems.

### Step-by-Step Solution:

1. **Identify the Shape of a Matchbox**:
A matchbox is typically a rectangular box with six faces, where opposite faces are equal in dimensions.

2. **Understand the Dimensions**:
In a matchbox, the lengths of the edges can vary. Let's denote the lengths of the edges as 'a', 'b', and 'c'. For a matchbox, it is common that these dimensions are different, meaning \( a \neq b \neq c \).

3. **Analyze the Angles**:
The angles between the edges of a matchbox are all right angles. This means that the angles between the edges are 90 degrees.

4. **Determine the Geometry Type**:
The characteristics identified (different edge lengths and all angles being right angles) correspond to the orthorhombic crystal system. In orthorhombic geometry, all three axes are of different lengths, and all angles are 90 degrees.

5. **Conclusion**:
Based on the analysis, we conclude that a matchbox exhibits orthorhombic geometry.

### Final Answer:
A matchbox exhibits orthorhombic geometry (Option 3).

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