Hexagonal prism Area and volume Calculator

Online Hexagonal prism Area and volume Calculator: Calculate the volume and area of a Hexagonal prism based on its its side length and height. Enter two unknowns in the form and press the CALCULATE button.

Table of contents:

What is a prism?

A prism is a polyhedron formed by two parallel superimposable polygonal faces, called bases, and different side faces which are parallelograms. Depending on the shape of the base of the prism, the latter will have more or less faces.

What is a Hexagonal prism?

Hexagonal prism is a prism with hexagonal base. It has 8 faces, 12 vertices, and 18 edges.

It is an octahedron. However, the term octahedron is mainly used with the term "regular", therefore it does not mean a hexagonal prism; in the general sense, the term octahedron is hardly used because there are different types that do not have much in common except the number of faces.

The characteristics of the Hexagonal prism

It has 8 faces.

It has 18 edges.

and 12 vertices.

Out of the 8 faces, 6 are rectangle or square , and 2 are Hexagons,

and that’s why the name hexagonal prism. These hexagons are at the base and the top. Therefore, the opposite faces of a hexagonal prism are the same.

The opposite edges of the same face are parallel.

Two opposite faces have the same area.

Two opposite edges are parallel and of the same length.

Calculate the area of the Hexagonal prism

To calculate the area corresponding to the surface of a Hexagonal prism, it suffices to calculate the area of the two faces at either ends are hexagons, and the rest of the faces of the hexagonal prism are rectangular, namely:

side length: a

the height: h

Hence the formula for calculating the area A of a Hexagonal prism:

A= 6 . a . h + 3 √ 3 .a²

Calculate the volume of the Hexagonal prism

You must use the formula for the volume of an irregular prism in order to find the volume of a hexagonal prism. The volume of a prism irregularity is equal to the area of the base times the height of the prism. Once you do this area calculation, then multiply the result by the height of the prism.

side length: a

the height: h

Hence the formula:

the volume of the Hexagonal prism V = (3 √ 3)/2 . a² .h

Note: All dimensions must be expressed in the same unit of length, before performing a calculation!