Regular hexagonal prism calculator

A regular hexagonal prism is a three-dimensional shape with two hexagonal bases that are congruent and parallel, and six rectangular faces that connect the bases. It is also known as a hexagonal prism.

To use a regular hexagonal prism calculator, you will need to know the length of the hexagonal base, the height of the hexagonal prism, and the length of the side of the hexagon. The calculator will then calculate the surface area and volume of the hexagonal prism.

Here are the steps to use a regular hexagonal prism calculator:

1. Enter the length of the hexagonal base (l) and the height of the hexagonal prism (h).
2. Enter the length of the side of the hexagon (s).
3. Click the “Calculate” button.

The calculator will then display the surface area and volume of the regular hexagonal prism.

Surface Area: The surface area (SA) of a regular hexagonal prism is given by the formula:

SA = 6s^2 + 6sl

where s is the length of a side of the hexagon and l is the height of the prism.

Volume: The volume (V) of a regular hexagonal prism is given by the formula:

V = (3√3 / 2) × s^2 × h

where s is the length of a side of the hexagon and h is the height of the prism.

For example, let’s say the length of the hexagonal base is 4 cm, the height of the hexagonal prism is 8 cm, and the length of the side of the hexagon is 3 cm. Using the regular hexagonal prism calculator, we get:

Surface area = 132 cm^2 Volume = 36√3 cm^3

Therefore, the surface area of the regular hexagonal prism is 132 cm^2 and the volume is 36√3 cm^3.