Hexagonal Prism (3D) — free printable diagram

How many faces, edges and vertices a hexagonal prism has

A hexagonal prism is a 3D solid with 8 faces, 18 edges and 12 vertices. Every face is flat, so it is a polyhedron and Euler's formula applies to it.

Solid

Hexagonal prism

Faces

8

Edges

18

Vertices (corners)

12

Shape of each end

Hexagon

Joining faces

6 rectangles

Volume

V = area of the hexagonal end × length

Surface area

SA = 2 × (area of the hexagon) + (perimeter of the hexagon × length)

• A prism has the same cross-section all the way along. This one has a hexagon at each end joined by 6 rectangles, so 6 + 2 = 8 faces altogether.
• Every hexagonal prism has 18 edges (3 × 6) and 12 vertices (2 × 6), whatever size it is drawn at and whichever way up it is standing.
• An unsharpened pencil is a hexagonal prism, which makes it the easiest one to put in a student's hand.
• Euler's formula holds for every solid with flat faces: faces + vertices − edges = 2. It is the quickest way to check a count you are unsure of. Here that is 8 + 12 − 18 = 2.