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A Cuboid has rectangular faces, edges a...

A Cuboid has ____ rectangular faces, ____edges and _____vertices.

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To solve the question regarding the properties of a cuboid, we will identify the number of rectangular faces, edges, and vertices step by step. ### Step-by-Step Solution: 1. **Identify the Rectangular Faces**: - A cuboid is a three-dimensional shape that has six faces. All of these faces are rectangles. - To visualize this, think of a box. The top and bottom faces are rectangles, and the four side faces are also rectangles. - Therefore, the total number of rectangular faces in a cuboid is **6**. 2. **Count the Edges**: - An edge is a line segment where two faces meet. - A cuboid has edges along the length, width, and height. - For each pair of opposite faces, there are 4 edges. Since there are 3 pairs of opposite faces (top-bottom, front-back, left-right), we can calculate the total number of edges: - 4 edges (top-bottom) + 4 edges (front-back) + 4 edges (left-right) = **12 edges**. 3. **Determine the Vertices**: - A vertex is a point where three edges meet. - In a cuboid, there are 8 corners (or vertices). - Each corner of the cuboid represents a vertex where three edges intersect. - Therefore, the total number of vertices in a cuboid is **8**. ### Final Answer: - A cuboid has **6 rectangular faces**, **12 edges**, and **8 vertices**.
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Knowledge Check

  • Can a polyhedron have 10 faces,20 edges and 15 vertices?

    A
    Yes
    B
    No
    C
    Cannot be determined
    D
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