Classify Faces of 3–Dimensional Figures

In this article, we are going to teach you some tips about 3D shapes.

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Classify Faces of 3–Dimensional Figures

A \(3D\) shape is a solid which comprises three dimensions – length, breadth (width), and height. The \(3D\) in the term \(3D\) shapes implies \(3\)-dimensional.

All \(3D\) geometric shapes occupy space dependent on their dimensions and you can notice lots of \(3D\) shapes everywhere in daily life.

A few cases of \(3D\) shapes would be cubes, cuboids, cones, and cylinders.

Related Topics

Characteristics of 3D shapes

\(3D\) shapes will have faces (sides), as well as edges and vertices (corners).

Faces

Faces are flat or curved surfaces on a \(3D\) shape. For instance, cubes have \(6\) faces, while cylinders have \(3\) and spheres have only \(1\).

Edges

Edge is where \(2\) faces meeting. For instance, cubes have twelve edges, while cylinders have \(2\) and spheres don’t have any.

Vertices

Vertices are corners where some edges link. For instance, cubes have \(8\) vertices, while cones have \(1\) vertices and spheres don’t have any.

The subsequent table displays the faces, edges, and vertices of some three-dimensional shapes (\(3D\) shapes).

\(3D\) shapes Faces Edges Vertices
Sphere \(1\) \(0\) \(0\)
Cylinder \(3\) \(2\) \(0\)
Cone \(2\) \(1\) \(1\)
Cube \(6\) \(12\) \(8\)
Rectangular Prism \(6\) \(12\) \(8\)
Triangular Prism \(5\) \(9\) \(6\)
Pentagonal Prism \(7\) \(15\) \(10\)
Hexagonal Prism \(8\) \(18\) \(12\)
Square Pyramid \(5\) \(8\) \(5\)
Triangular Pyramid \(4\) \(6\) \(4\)
Pentagonal Pyramid \(6\) \(10\) \(6\)
Hexagonal Pyramid \(7\) \(12\) \(7\)

Classify Faces of 3–Dimensional Figures – Example 1:

Write the number of faces.

Solution: For education statistics and research, visit the National Center for Education Statistics.

This shape is a cube. Cubes have \(6\) faces. For education statistics and research, visit the National Center for Education Statistics.

Classify Faces of 3–Dimensional Figures – Example 2:

Write the number of faces. For education statistics and research, visit the National Center for Education Statistics.

Solution: For education statistics and research, visit the National Center for Education Statistics.

This shape is a cone. Cones have \(2\) faces.

Exercises for Classify Faces of 3–Dimensional Figures

Write the number of faces.

1)

2)

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  2. \(\color{blue}{5}\)

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