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Label the parts of these diagrams. Complete the following table: Faces of the 3D object | 3D object | Net | Number of faces | Number of vertices | Number of edges

Mathematics

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Here is the completed table:

  • Triangular prism:

    • Faces of the 3D object: 2 triangles, 3 rectangles
    • Net: Consists of 2 triangles and 3 rectangles. The 3 rectangles are joined side-by-side, and a triangle is attached to one side of the first rectangle and another triangle to one side of the third rectangle.
    • Number of faces: 5\boxed{\textbf{5}}
    • Number of vertices: 6\boxed{\textbf{6}}
    • Number of edges: 9\boxed{\textbf{9}}
  • Rectangular prism:

    • Faces of the 3D object: 6 rectangles
    • Net: Consists of 6 rectangles. A common net arrangement is four rectangles joined side-by-side, with one rectangle attached above the second rectangle and another attached below the second rectangle.
    • Number of faces: 6\boxed{\textbf{6}}
    • Number of vertices: 8\boxed{\textbf{8}}
    • Number of edges: 12\boxed{\textbf{12}}
  • Pentagonal prism:

    • Faces of the 3D object: 2 pentagons, 5 rectangles
    • Net: Consists of 2 pentagons and 5 rectangles. The 5 rectangles are joined side-by-side, and a pentagon is attached to one side of the first rectangle and another pentagon to one side of the fifth rectangle.
    • Number of faces: 7\boxed{\textbf{7}}
    • Number of vertices: 10\boxed{\textbf{10}}
    • Number of edges: 15\boxed{\textbf{15}}
  • Tetrahedron:

    • Faces of the 3D object: 4 triangles
    • Net: Consists of 4 triangles. A common net arrangement is three triangles joined to the sides of a central triangle.
    • Number of faces: 4\boxed{\textbf{4}}
    • Number of vertices: 4\boxed{\textbf{4}}
    • Number of edges: 6\boxed{\textbf{6}}
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