![]() ![]() The values are put in the formula and write the answer so obtained in cubic units. We calculate the volume of a pentagonal prism using the formula is V = 5/2abh where this formula is further understood as V = × height of the prism. ![]() What is the Formula for Calculating the Volume of a Pentagonal Prism? The volume of a pentagonal prism can be expressed in cubic units such as m 3, in 3, etc. The volume of a pentagonal prism is the amount of space it can occupy, which can be found out using the pentagonal prism volume formula, which is the product of its base area by its height. Thus, the volume of the pentagonal prism is 300 cubic feet.įAQs on Volume of Pentagonal Prism What is the Volume of a Pentagonal Prism? Step 3: The volume of the pentagonal prism = base area × height = 50 × 6 = 300 cubic feet.Step 2: The height of the prism is 6 ft.Step 1: The area of the base of the pentagonal prism is found using the formula, 5/2ab = 5/2 × 5 × 4 = 50 square feet.The steps to determine the volume of the pentagonal prism are: The volume of the pentagonal prism is obtained using the formula V = 5/2 × abh. Solution: Given that a = 5 feet, b = 4 feet and h = 6 feet. Step 3: Find the product of its base area and the height to find the volume.Įxample: Calculate the volume of the pentagonal prism if the apothem length "a" of a pentagonal prism is 5 feet, the base length "b" is 4 feet, and the height "h" is 6 feet.Step 2: Identify the given height of the prism (It should be the height of the total prism).Step 1: Identify the apothem length and base length and find its area using a suitable formula(base area= 5/2ab).Refer to the example given below followed by the steps. We need to be sure that all measurements are of the same units. Here are the steps to calculate the volume of a pentagonal prism. How To Calculate the Volume of Pentagonal Prism? Thus, the perpendicular drawn from one vertex of one base to the other base of the prism will be taken as its height. In the case of an oblique pentagonal prism, the bases are not perpendicular to each other.In the case of a right pentagonal prism, the bases are perpendicular to each other.In the case of a regular pentagonal prism, both the pentagonal sides are of equal length and the five rectangular sides with bases being perpendicular to each other.There are three types of pentagonal prisms - regular pentagonal prisms, right pentagonal prisms, and oblique pentagonal prisms. Since the third dimension of measurements has come into the picture, thus the unit will be cubic units like these cubic centimeters. b = Base length of the pentagonal prism.a = Apothem length of the pentagonal prism.Thus, the formula for the volume of a pentagonal prism is: Volume = (5/2 × abh) cubic units where, The area of base = 1/2 × Perimeter × Apothem sq units, where perimeter = 5b. As per the general formula of the volume of a prism, that is, volume = area of base × height. The volume of a pentagonal prism determines the capacity of the prism. The volume of a pentagonal prism = area of base × height By applying the above formula, the volume of a pentagonal prism = area of base × height. We know that the base of a pentagonal prism is a pentagon. We will use this formula to calculate the volume of a pentagonal prism as well. i.e., the volume of a prism = base area × height. ![]() The volume of any prism is obtained by multiplying its base area by its height. \).We will see the formulas to calculate the volumes of different types of pentagonal prisms. ![]()
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