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). 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. 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. We can see from the net that there are two rectangles with dimensions 3 cm by 6 cm, two rectangles with dimensions 2 cm by 6 cm and two rectangles with dimensions 2 cm by 3 cm. Surface Area of a Rectangular Prism using NetsĪ rectangular prism or cuboid is formed by folding a net as shown − From the net, we can see that there are six equal faces and so we get the total surface area is 6 × 16 = 96 square units. Using a net to find the surface area of a rectangular prismįinding the areas of each of the rectangles and squares of the net of a rectangular prism and adding up those areas gives the surface area or total surface area of the prism.įor example, if the length of one side of the cube 4 units then the area of one its face is 4 × 4 = 16 square units. Nets of rectangular prisms are made up of rectangles and squares. The net of a solid figure is formed when a solid figure is unfolded along its edges and its faces are laid out in a pattern in two dimensions. In this lesson, we use nets of a solid figure to find the surface area of a solid figure.
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