A match box exhibits

Options

A. Cubic geometry
B. Monoclinic geometry
C. Teragonal geometry
D. Othorhombic geometry

Answer

To solve the question regarding the geometry exhibited by a matchbox, we can follow these steps:

### Step 1: Identify the Dimensions of the Matchbox
A matchbox typically has three dimensions: length (A), width (B), and height (C). In this case, we can denote these dimensions as:
- A = length
- B = width
- C = height

### Step 2: Compare the Dimensions
In the problem, it is stated that:
- A is not equal to B
- A is not equal to C
- B is not equal to C

This indicates that all three dimensions of the matchbox are different from each other.

### Step 3: Analyze the Axial Angles
Next, we need to consider the angles between the axes of the matchbox. The problem states that the axial angles (α, β, γ) are equal to 90 degrees. This means:
- α = 90°
- β = 90°
- γ = 90°

### Step 4: Determine the Geometry
Given that the lengths of the sides are unequal (A ≠ B ≠ C) and all the axial angles are 90 degrees, we can conclude that the geometry of the matchbox corresponds to a specific type of crystal system.

### Step 5: Identify the Crystal System
The combination of unequal side lengths and right angles indicates that the matchbox exhibits orthorhombic geometry. In crystallography, the orthorhombic system is characterized by three unequal axes that are mutually perpendicular.

### Final Answer
Therefore, the matchbox exhibits **orthorhombic geometry**.

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