"Prism" Explained

A 3d shape where whatever comes before the word prism tells you the shape of the base stretched straight up with a height.
Ex. A “circular prism” is like a tube.
A circle with a straight height.

Key Idea: Prism

A prism is a 3D solid formed by extending a 2D shape (the base) straight up or down through a given height.
The name of the prism tells you the shape of its base.


General Rule:

  • Base shape determines the type of prism (e.g., triangular prism, rectangular prism).

  • Height measures the distance between the two congruent bases.

  • Volume and surface area depend on the base’s area and the prism’s height.


Why this matters for the SAT:

Prisms appear in geometry and volume problems. Recognizing that the prism’s name comes from its base shape helps you identify the correct formula and visualize the solid quickly.