Classify Faces of 3–Dimensional Figures
In this article, we are going to teach you some tips about 3D shapes.
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
- Volume of Cubes
- How to Find Volume and Surface Area of Cubes?
- How to Calculate Cylinder Volume and Surface Area?
- How to Find the volume and surface area of Rectangular Prisms?
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:
This shape is a cube. Cubes have \(6\) faces.
Classify Faces of 3–Dimensional Figures – Example 2:
Write the number of faces.
Solution:
This shape is a cone. Cones have \(2\) faces.
Exercises for Classify Faces of 3–Dimensional Figures
Write the number of faces.
1)
2)
- \(\color{blue}{3}\)
- \(\color{blue}{5}\)
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