Question

what kind of symmetry is exhibited by match box

Answer 1

Hey dear,

● Answer -
Orthorhombic symmetry

● Symmetry in unit cell of crystals -
- Triclinic
- Monoclinic
- Orthorhombic
- Tetragonal
- Trigonal
- Hexagonal
- Cubic

● Orthorhombic symmetry -
The matchbox is cuboid in shape.
Sides of matchbox, a ≠ b ≠ c
Angles in matchbox, α = β = γ = 90°

We know these are characteristics of orthorhombic symmetry.
Therefore, matchbox exhibits orthorhombic symmetry.

Hope this helps you.
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Answer 2

"The match box exhibits orthorhombic geometry because in match box all the angles are same but the sides are unequal. The orthorhombic geometry has two types of structure in two dimensional shapes such as primitive rectangular and centered rectangular.

    In three dimensional structure, there are three types such as primitive orthorhombic, base-centered orthorhombic, body-centered orthorhombic, and face-centered orthorhombic. Orthorhombic geometry is a type of crystal structure."