Step 2: Identify the height of the given hexagonal prism.

Step 1: Identify the base edge a and find the base area of the prism using the formula a 2.

We need to be sure that all measurements are of the same units. Here are the steps to calculate the volume of a (regular) hexagonal prism. How To Calculate the Volume of Hexagonal Prism?

An irregular hexagonal prism is a prism where all the sides of a hexagonal base do not have the same lengths.

The angles of the regular hexagonal prism are also the same.

A regular hexagonal prism is a prism with bases shaped like a hexagon with all the sides of the same length.

regular hexagonal prisms and irregular hexagonal prisms. There are 2 different types of hexagonal prisms i.e. We can also use the formula V = 3abh, where Thus, the formula for the volume of a hexagonal prism is: Volume =area of base × height = a 2h cubic units where The area of a regular hexagon with base length a is a 2 and height is h. As per the general formula of the volume of a prism, that is, volume = area of base × height, the formula for the volume of hexagonal prism = area of the hexagonal face x-height of the prism. The volume of a hexagonal prism determines the capacity of the prism. Thus, the volume of a hexagonal prism = area of base × height. By applying the above formula to a hexagonal prism. We know that the base of a hexagonal prism is a hexagon. We will use this formula to calculate the volume of a hexagonal prism as well. i.e., the volume of a prism = base area × height. The volume of any prism can be obtained by finding the product of its base area and its height. Cylindrical aquariums are also fairly common, so are cylindrical artificial lakes, fountains, gas containers / tanks, etc.We will see the formulas to calculate the volumes of different types of hexagonal prisms. how much water you need to fill your jacuzzi. Calculating cylinder volume is useful when you want to know its displacement, or how much liquid or gas you need to fill it, e.g. The cylinder is one of the most widely used body shapes in engineering and architecture: from tunnels, covered walkways to tubes, cables, round bars, the cylinders and pistons in your car's engine - cylinders are everywhere. our calculator computes the volume of this cylinder as 125.6637 cu in.

Using a higher level of precision for π results in more accurate results, e.g. First, we find the area by 3.14159 x 2 2 = 3.14159 x 4 = 12.574, then multiply that by 10 to get 125.74 cubic inches of volume. For example, the height is 10 inches and the radius is 2 inches. If the radius is given, using the second equation above can give us the cylinder volume with a few additional steps.

For example, if the height and area are given to be 5 feet and 20 square feet, the volume is just a multiplication of the two: 5 x 20 = 100 cubic feet. Using the formula and doing the calculations by hand can be difficult due to the value of the π constant: ~3.14159, which can be hard to work with, so a volume of a cylinder calculator significantly simplifies the task.Īpplying the volume formulas is easy provided the cylinder height is known and one of the following is also given: the radius, the diameter, or the area of the base. If you have the radius instead, just multiply it by two. Since in practical situations it is easier to measure the diameter (of a tube, a round steel bar, a cable, etc.) than it is to measure the radius, and on most technical schemes it is the diameter which is given, our cylinder volume calculator accepts the diameter as an input. Multiplying the area of the slice by the depth of the stack is an easy way to conceptualize the way for calculating the volume of a cylinder. The height of the cylinder gives us the depth of stacking, while the area of the base gives us the area of each circular slice.

One can think of a cylinder as a series of circles stacked one upon another. How to calculate the volume of a cylinder? The result from our volume of a cylinder calculator is always in cubic units, based on the input unit: in 3, ft 3, yd 3, cm 3, m 3, km 3, and so on. To do the calculation properly, you must have the two measurements in the same length units. Visual in the figure below:įirst, measure the diameter of the base (usually easier than measuring the radius), then measure the height of the cylinder. The formula for the volume of a cylinder is height x π x (diameter / 2) 2, where (diameter / 2) is the radius of the base (d = 2 x r), so another way to write it is height x π x radius 2. How to calculate the volume of a cylinder?.

Volume of a hexagonal prism with radius