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What shape is a match box ?...

What shape is a match box ?

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To determine the shape of a matchbox, we can follow these steps: ### Step-by-Step Solution: 1. **Identify the Dimensions**: A matchbox has three dimensions: length, breadth, and height. These dimensions are not all equal. **Hint**: Think about the size of a matchbox compared to a cube, where all sides are equal. 2. **Recognize the Faces**: A matchbox has six faces. Each face is a rectangle. **Hint**: Count the number of flat surfaces you can see on a matchbox. 3. **Understand the Vertices**: A matchbox has eight vertices (corners) where the edges meet. **Hint**: Visualize the corners of the matchbox and how many there are. 4. **Count the Edges**: A matchbox has twelve edges. These are the lines where two faces meet. **Hint**: Trace the edges with your finger to see how many there are. 5. **Identify the Shape**: Since a matchbox has rectangular faces and unequal dimensions, it is classified as a cuboid. **Hint**: Remember that a cuboid is a three-dimensional shape with rectangular faces. 6. **Differentiate from a Cube**: A matchbox is not a cube because a cube has all edges of equal length, while a matchbox does not. **Hint**: Compare the dimensions of a matchbox with those of a cube to see the difference. ### Final Answer: The shape of a matchbox is a **cuboid**.
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Knowledge Check

  • How many faces does a match box have?

    A
    6
    B
    8
    C
    9
    D
    4
  • Which of the crystal systems matches with the geometry of a match box?

    A
    Triclinic
    B
    Monoclinic
    C
    Orthorhombic
    D
    Rhombohedral
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