#CALCULATE VOLUME OF A PRISM HOW TO#

Since the volume of any prism can be obtained by multiplying its base area by its height, we can use this formula to calculate the volume of a hexagonal prism as well.

#CALCULATE VOLUME OF A PRISM HOW TO#

How To Find the Volume of a Hexagonal Prism With Base Area and Height? We can also use the other formula V = 3abh, where a = apothem length, b = length of a side of the base, and h = height of the prism. The formula for the volume of a hexagonal prism is, volume = a 2h cubic units where a is the base length and h is the height of the prism. What Is the Formula To Find the Volume of Hexagonal Prism? It is the product of the base area and the height of the prism. The volume of the hexagonal prism refers to the capacity of the hexagonal prism. Listed below are a few interesting topics related to the volume of hexagonal prism, take a look.įAQs on Volume of Hexagonal Prism What Is the Volume of Hexagonal Prism? Thus, the volume of the hexagonal prism is 332.544 cubic feet.

Step 3: The volume of the hexagonal prism = base area × height = 332.544 × 8 = 332.544cubic feet.

Step 2: The height of the prism is 8 ft.

Step 1: The area of the base of the hexagonal prism is found using the formula, a 2 = (4) 2= 41.568 square feet.

The steps to determine the volume of the hexagonal prism are: The volume of the hexagonal prism is obtained using the formula V =base area × height or a 2h. Solution: Given that base edge, a = 4 feet and height, h = 8 feet. Now refer to the example given below for more clarity.Įxample: Calculate the volume of the hexagonal prism with a base edge of 4 feet and a height of 8 feet.

Step 4: Write the value of the volume of the hexagonal prism so obtained with appropriate cubic units.

Step 3: Put the respective values in the formula, v = a 2h.

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. Also, in case of any problem where all the values of the trapezoidal prism are given in different units, remember to convert them to a unit that you are comfortable with before proceeding with the calculations.We will see the formulas to calculate the volumes of different types of hexagonal prisms. Thus, the volume of the prism is 268 cubic centimeters (cc).Īlways remember to use the right units when you find the volume, as sometimes instead of centimeters, even inches and millimeters can be used for expressing the given data. Find the volume of this geometric structure.Īs the actual height is not given, we have to use equation no. The top width is 6 cm, and slant height is 2 cm. Example #2Ī trapezoidal prism has a length of 5 cm and bottom width of 11 cm. Thus, the volume of the prism is 70 cubic centimeters (cc). 1, i.e., the first formula, the expression can be written as: The top and bottom widths are 3 and 2 centimeters respectively. Calculate the volume of a trapezoidal prism having a length of 7 centimeters and a height of 4 centimeters.

Calculate volume of a prism