Math Playground
Geometry

Prisms

Same shape, top and bottom — connected by rectangles.

A prism is a 3D shape with two identical parallel ends, joined by rectangles. Triangular prism, hexagonal prism, rectangular prism (a.k.a. cuboid) — the front and back match, and the sides connect them.

Spin the solid
Triangular prism
faces
5
edges
9
vertices
6
V − E + F = 69 + 5 = 2

drag to rotate

Spin the solid
Hexagonal prism
faces
8
edges
18
vertices
12
V − E + F = 1218 + 8 = 2

drag to rotate

Volume of any prism

Multiply the area of the end shape by how long the prism is.

Common prisms

  • Cuboid — rectangular ends. The shape of bricks and cardboard boxes.
  • Triangular prism — triangle ends. The classic glass prism that splits white light into a rainbow.
  • Hexagonal prism — hexagon ends. Pencils and honeycomb cells.