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Volume of a square prism
Volume of a square prism











volume of a square prism volume of a 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.

volume of a square prism

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.

volume of a 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 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:. 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. 4 side faces, each of which is a rectangle.Only Dorothee described a prism with 24 cubic units because Bai's prism has a base with area 3 x 4 x 5, which is 60 square units.The surface area of a square prism is the sum of the areas of its faces and its base. Only Bai described a prism with a volume of 24 cubic units because Dorothee's prism has a volume that is half of the area of the base times the height.ĭ. Neither student described a prism with the correct volume because the product of the area of the base of the prism and the height of the prism is not 24 cubic units for either prism.Ĭ. Both students described a prism with the correct volume because the product of the area of the base of the prism and the height of the prism is 24 cubic units for both prisms.ī. Which of the following statements best explains which student described a correct prism with a volume of 24 cubic units?Ī. Bai says that the prism could be a right triangular prism where the base is a 3-4-5 right triangle and the height is 4 units. Dorothee says that the prism could be a right rectangular prism where the base is 2 x 3 square units and the height is 4 units. Lakshi asks her geometry students to describe how to create a right prism with a volume of 24 cubic units.













Volume of a square prism