How to Find the Height of the Hexagonal Prism When Its Lateral Surface Area and Apothem Length are Given? Step 3: Write the value so obtained in cubic units. Step 2: Put these values in the formula of the lateral surface area of a hexagonal prism, LSA = 6ah.Step 1: Find the values of apothem length, base length, and height of the hexagonal prism.To find the lateral surface area of the hexagonal prism, follow the steps given below: How to Find the Lateral Surface Area of the Hexagonal Prism? Step 3: Write the value of the surface area of the hexagonal prism with an appropriate unit.Step 2: Put these values in the formula of the surface area of a hexagonal prism, TSA = 6b(a + h).Identify the values of apothem length, base length, and height of the prism. Step 1: Check for the given information.To find the total surface area of the hexagonal prism, follow the steps given below: In the case of a regular hexagonal prism, TSA = 6ah + 3√3a 2 How to Find the Total Surface Area of the Hexagonal Prism? = 6b(a + h), where the apothem length of the prism is "a", the base length of the prism is "b" and the height of the prism is "h". The surface area of a hexagonal prism is given as Total Surface Area, T = 2(area of hexagon base) + 6(area of rectangle face) sq. What is the Formula to Find the Surface Area of Hexagonal Prism? The unit of the surface area of a prism is expressed in square units like square meters, square centimeters, square inches, etc. The surface area of a hexagonal prism gives the area of each face of the prism. The surface area of a hexagonal prism refers to the total region covered by the surfaces of a hexagonal prism. Therefore, the total surface area of the hexagonal prism is 347.136 square inches.įAQs on Surface Area of Hexagonal Prism What is the Surface Area of a Hexagonal Prism? Total Surface Area of Hexagonal Prism = LSA + 3√3a 2 = 264 + 3√3 × (4) 2 Lateral Surface Area of Hexagonal Prism = 6ah = 6 × 4 × 11 = 264 square inches Solution: Given a = 4 inches and h = 11 inches Thus, the total surface area of a hexagonal prism is 6ah + 3√3a 2 and the lateral surface area is 6ah, in squared units.Įxample: Determine the total surface area and the lateral surface area of a hexagonal prism with a base length of 4 inches and height of 11 inches. Step 3: Add all the areas together for the total surface area of a square prism, while the area of 6 rectangular faces gives the lateral area of the square prism.Step 2: Find the area of the six rectangular faces.Step 1: Calculate the area of the hexagonal base using the formula, 3√3a 2.The following steps are used to calculate the surface area of a hexagonal prism : How to Find Surface Area of a Hexagonal Prism? An irregular hexagonal prism has irregular hexagonal bases, and thus the sides of its hexagon bases are not of the same length.A regular hexagonal prism is a hexagonal prism having regular hexagons as bases and all the sides are the same length.Hexagonal prisms can be regular or irregular. The hexagonal prism formula for calculating surface area remains the same for all kinds of hexagonal prisms. In the case of a regular hexagonal prism, the Total Surface Area, TSA = 6ah + 3√3a 2, where a = base length and h= height of the prism. Lateral Surface Area, LSA = Ph = 6( area of the rectangle) = 6ah sq. = 6b(a + h) or 6ah + 3√3a 2 (in case of regular hexagonal prism) Total Surface Area, TSA= 2(area of hexagon base) + 6(area of rectangle face) sq. If the apothem length of the prism is "a", the base length of the prism is "b" and the height of the prism is "h", the surface area of a hexagonal prism is given as: The surface area of a hexagonal prism is the sum of the areas of its faces and its base. Formula of Surface Area of Hexagonal Prism
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