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### Student Question

Hello,

I don't understand if a solid is a prism or vice versa

thank

Mathematics ## Explanations (1)

• Explanation from Alloprof  Explanation from Alloprof

This Explanation was submitted by a member of the Alloprof team.

Hello

Good question!

A prism is a polyhedron with bases (isometric and parallel faces) and side faces (quadrilaterals). A prism is characterized by its bases. So, if the bases of a prism are squares, we have a square-based prism.

A solid is an object in three dimensions. It occupies a volume in space, therefore has one or more closed faces.

Within the categories of solids, we find polyhedra, which can be convex or non-convex (concave).

A convex polyhedron has line segments that join two apex that belong to the interior of it ... like the prism.

In conclusion, by relying on this definition, the prism is a solid because it respects the characteristics of a convex polyhedron (which is a solid)!