Content code
m1228
Slug (identifier)
solid
Parent content
Grades
Secondary I
Secondary II
Secondary III
Equivalent file in the opposite grade group
Topic
Mathematics
Tags
solid
polyhedron
rectangular-based prism
square-based prism
triangular-based prism
hexagonal-based prism
square-based pyramid
decomposable solid
prism
pyramid
triangular-based pyramid
Content
Contenu
Corps

Everyday objects around us are often in the shape of different solids. A box can remind us of a cube, while a computer tower can be defined as a rectangular prism. These solids are all similar because they are formed using width, length, and height. In other words, they are three dimensional.

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A solid is a three dimensional object delimited by at least one closed surface.

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Despite its relatively simple definition, solids come in different shapes, each one having its own unique characteristics and appearance.

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Title (level 2)
The Characteristics of a Solid
Title slug (identifier)
characteristics-of-a-solid
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The number of edges, vertices, and faces of solids are used to classify them.

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Corps
  • An edge of a solid is the line segment where two surfaces (faces) meet.
  • A vertex of a solid is a point at which two or more edges meet.
  • A face is a plane (flat) or curved surface that is bordered by edges.
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Different solids are distinguished by their form and the shapes that compose them. The following table summarizes the different categories of solids.

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As the diagram illustrates, it is essential to clearly distinguish each of the families between the polyhedrons and curved surfaces. When examining non-convex polyhedrons, they usually refer to decomposable solids.

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  • A polyhedron is a solid formed exclusively by polygons. In short, none of its faces is a curved surface.
  • Curved solids are solids that have at least one rounded surface.
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Video
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video
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Exercise
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exercise
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