![]() The lateral surface area of a square prism is the area covered by the lateral or side surfaces, while the total surface area of a square prism is the area covered by all the faces, including the two square bases. What Is the Difference Between Lateral Surface Area and Total Surface Area of a Square Prism? Given the surface area and side length of the base square, we can substitute the known values in the formula, and solve for height. The surface area of a square prism is given by the formula: TSA of a square prism = 2 × s 2 + 4 × (s × h) = 2s 2 + 4sh, where, s is the length of the side of the square and h is the height of the square prism. How Do You Find the Height of a Square Prism When Given the Surface Area? The common units used are square meters, square centimeters, square inches, square yards, etc. The total surface area of a square prism is expressed in square units. What Are the Units Used To Express Surface Area of a Square Prism? The lateral surface area can be calculated using the given formula, LSA of square prism = 4sh, where, s is the length of the side of the square and h is the height of the square prism. The lateral surface area of a square prism is the area covered by the lateral or side faces of the square prism. What Is the Lateral Surface Area of a Square Prism? Step 3: Express the answer in square units.LSA of square prism = 4sh, where, s is the length of the side of the square and h is the height of the square prism. TSA of a square prism = 2 × s 2 + 4 × (s × h) = 2s 2 + 4sh Step 2: Apply the formulas for LSA or TSA(as required in the question):.Step 1: Note down the dimensions of the square prism and figure out whether to calculate the lateral or total surface area according to the given condition.To calculate the surface area of a square prism we can follow the steps given below, How to Calculate the Surface Area of a Square Prism? While the formula to calculate the lateral surface area of a square prism is given as, LSA of square prism = 4sh, where s is the length of the side of the square and h is the height of the square prism. The formula used to calculate the total surface area of a square prism is given as, TSA of a square prism = 2 × s 2 + 4 × (s × h) = 2s 2 + 4sh, where, s is the length of the side of the square and h is the height of the square prism. What Is the Formula to Calculate the Surface Area of a Square Prism? ![]() A square prism has two types of areas: lateral surface area and total surface area. A square prism has 2 square-shaped bases and 4 rectangular-shaped lateral faces. Surface area of square prism is the area or region covered by the surfaces of the three-dimensional shape. Total surface area of a square prism = 2 × s 2 + 4 × (s × h) = 2s 2 + 4sh, where, s is the length of the side of the square and h is the height of the square prism.įAQs on the Surface Area of a Square Prism What Is Surface Area of a Square Prism? The total surface area of a square prism = 2 × Base Area + Lateral Surface Area 8 To finish our example, just add up all the blue numbers above: 12 + 12 + 15 + 15 + 20 + 20 94 square inches. You can use this formula for any rectangular prism, and you will always get the surface area. Surface area of a square prism = 4 × (s × h) = 4sh, where, s is the length of the side of the square and h is the height of the square prism.įor a square prism, if the length of the side of the square and height of the prism is given, then its total surface area can be given by:- Add them all together to get the area of the whole shape: lw + lw + wh + wh + lh + lh. Since all 4 rectangles are congruent, their areas will be equal. The lateral surface area of a square prism = Area of the four rectangular sides. Base Area of a Square Prismįor a square prism, if the length of the side of the square base is given, then its base area can be given by,īase area of a square prism = Area of base square = s 2, where, 's' is the length of the side of the base square.įor a square prism, if the length of the side of the square and height of the prism is given, then its lateral surface area can be given by, So, the surface area of a square prism is the sum of the areas of four of its rectangular side faces and the base area which are squares.
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