Enter the length of a side of the hexagon and the height of the prism into the calculator to determine the volume.
Hexagonal Volume Formula
The following formula is used to calculate the volume of a hexagonal prism:
V = (3√3 * a^2 * h) / 2
Variables:
- V is the volume of the hexagonal prism
- a is the length of the side of the hexagon
- h is the height of the hexagonal prism
To calculate the volume of a hexagonal prism, multiply the square of the length of a side of the hexagon by the height of the prism. Multiply the result by 3√3 and divide by 2.
What is a Hexagonal Volume?
A hexagonal volume refers to the three-dimensional space that a hexagonal prism occupies. A hexagonal prism is a geometric shape that has two hexagonal bases and six rectangular sides. The volume of a hexagonal prism can be calculated using the formula: V = Bh, where B is the area of the base and h is the height of the prism. The base area (B) of a hexagon can be found using the formula: B = 3/2 * √3 * s^2, where s is the length of a side of the hexagon. Therefore, the volume of a hexagonal prism is the product of the height and the area of the hexagonal base. This concept is used in various fields such as architecture, engineering, and mathematics.
How to Calculate Hexagonal Volume?
The following steps outline how to calculate the Hexagonal Volume.
- First, determine the length of one side of the hexagon (s).
- Next, calculate the area of the hexagon using the formula: A = (3√3 * s^2) / 2.
- Next, determine the height of the hexagonal prism (h).
- Next, calculate the volume of the hexagonal prism using the formula: V = A * h.
- Finally, calculate the Hexagonal Volume.
- After inserting the variables and calculating the result, check your answer with the calculator above.
Example Problem :
Use the following variables as an example problem to test your knowledge.
length of one side of the hexagon (s) = 5
height of the hexagonal prism (h) = 8
