![]() The formula to determine the surface area of a hexagonal prism in the case of a regular hexagonal prism, TSA = 6sh + 3√3s 2. Total Surface Area, TSA = 2(Area of hexagon base) + 6(Area of rectangle faces) = 6s(a + h), where the “a” is apothem length of the prism, “s” is the length of the base edge, and “h” is the height of the prism. The formula to determine the surface area of a hexagonal prism is given as follows: The surface area of a prism is measured in terms of square units such as sq. The total area that is covered by the surfaces of a hexagonal prism is referred to as its surface area. Question 5: What is meant by the Surface Area of a Hexagonal Prism? Therefore, we can conclude the volume will also be reduced by half. So, the volume of the new hexagonal prism will be 3ab (h/2) = (1/2) (3abh) = V/2. So, if the height is reduced to half, the new height will become (h/2). So, the volume of the prism is directly proportional to its height. Where “a” is the apothem length, “s” is the length of the base edge, and “h” is the height of the prism. We know that the formula for calculating the volume of the hexagonal prism is V = 3abh. Question 4: What will happen to the Volume of the Hexagonal Prism if its Height is reduced to Half? Volume of a hexagonal prism = Base Area × height. As both the base area and the height of the hexagonal prism are given, the formula to determine the volume of a hexagonal prism is given as follows: So, we can also use the same formula for determining the volume of a hexagonal prism. A hexagonal prism is a prism that has a hexagon as its base. ![]() We know that the general formula for calculating the volume of any prism is the product of its base area and its height. Question 3: How can we determine the Volume of a Hexagonal Prism when its Base Area and Height are given? Step 4: Finally, write the final value in appropriate cubic units. Step 3: Substitute the values of the given dimensions in the formula, V = s 2h Step 2: Note down the value of the height of the given hexagonal prism. Step 1: Calculate the base area of the prism using the appropriate formula. Question 2: How to determine the Volume of a Hexagonal Prism?įollow the steps given below to determine the volume of a hexagonal prism: The volume of the hexagonal prism (V) = Base area × height The formula for finding the volume of a rectangular prism is given as follows, The formula for the volume of a hexagonal prism is equivalent to the product of its base area and height, which is measured in terms of cubic units such as cm 3, m 3, in 3, etc. It is also referred to as the amount of substance that it can hold, which is the capacity of a hexagonal prism. The volume of a hexagonal prism is the amount of space enclosed by it in three-dimensional space. Question 1: What is the Volume of a Hexagonal Prism? Hence, the volume of the hexagonal prism is 648 sq. The lateral surface area of a hexagonal prism = 6sh sq. Length of the base edge length (s) = 12 cm So, the lateral surface area of the prism of a hexagonal prism is determined by calculating the product of the perimeter of the base of the hexagonal prism and its height.Įxample 5: Determine the lateral surface area of a hexagonal prism with a base edge length of 12 cm and a height of 9 cm. We know that the general formula to calculate the lateral surface area of a prism is the product of its base and height. Let us consider a hexagonal prism that has an apothem length “a”, a base length “s”, and a height “h”. A hexagonal prism has two types of areas just like other three-dimensional shapes: lateral surface area (LSA) and total surface area (TSA). ![]() All the sides of the base do not have the same length, and the measures of each angle are different. An irregular hexagonal prism is a prism that has two irregular hexagonal bases.In a regular hexagonal prism, the angles also measure the same. A regular hexagonal prism is a prism that has two hexagonal bases whose all sides are of the same length.Role of Mahatma Gandhi in Freedom Struggle.
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