![]() ![]() ![]() The unit of the surface area of a trapezoidal prism is given in cm 2, m 2, ft, or cubits 2. As a trapezoidal prism has a curved surface as well, thus we can express its curved surface area as well as total surface area. The surface area of a trapezoidal prism refers to the amount of area occupied by the surface of a trapezoidal prism. Listed below are a few interesting topics related to the surface area of trapezoidal prism, take a look:įAQs on Trapezoidal Prism What is the Surface Area of a Trapezoidal Prism? The perimeter of the base is the sum of the lengths of the sides. Solution: Using the Pythagoras theorem, the slant height or the non-parallel side = √(16 1) = √17 = 4.123 ft Step 5: Put the values in the formula, 2B Lateral Surface Area(PH), to get the total surface area of the hexagonal prism.Įxample: Determine the total surface area of the trapezoidal prism.Find the base area B by putting the above values in the formula, (b1 b2)h/2 Step 4: Identify b1 and b2 (lengths of the bases) of the trapezoid and h (height) of the trapezoid.Step 3: Put the values in the formula, (a b c d) × H or PH, to find the lateral surface area of the hexagonal prism.Step 2: Identify the length H of the prism.Add these 4 values in order to find the perimeter P. Step 1: Identify the four sides of the trapezium - a, b, c, and d, representing the widths of the four rectangles.Note that all measurements are of the same units. Here are the steps to calculate the surface area of a trapezoidal prism. How to Calculate the Surface Area of a Trapezoidal Prism? Thus, the total surface area of a trapezoidal prism is h(b d) l(a b c d) square units. ![]() TSA of the trapezoidal prism = h (b d) l (a b c d). Therefore, the total surface area of the trapezoidal prism (TSA) = 2 × h (b d)/2 (a × l) (b × l) (c × l) (d × l) = h (b d) ![]() Substituting the values from equation (2) and equation (3) in the TSA formula, which is represented by equation (1): The lateral surface area of the trapezoidal prism (LSA) is the sum of the areas of each rectangular surface around the base that means, LSA = (a × l) (b × l) (c × l) (d × l) - (3) Thus, the area of trapezoidal base = h (b d)/2 - (2) We already know that the total surface area of the trapezoidal prism (TSA) = 2 × area of base lateral surface area - (1)Īlso, the area of a trapezoid = height(base1 × base 2)/2. l is the length of the trapezoidal prism.h is the distance between the parallel sides.We know that the base of a prism is in the shape of a trapezoid. The corresponding edges on the opposite sides will be the same since this is a rectangular prism.Derivation of Surface Area of Trapezoidal Prism Here we can see our prism is 10 meters long by 5 meters wide by 4 meters high. We’ll just know the dimensions of the rectangular prism, like this: This problem lets us see the square centimeters, but most surface area problems won’t show us the squares. Each one of these cubes is 1 cubic centimeter, which can also be written like this \(1\text^2\). Imagine that we have a bunch of little cubes that are 1 centimeter tall, 1 centimeter wide, and 1 centimeter long. It’s easy to picture this with a rectangular prism. We measure this in cubic units, such as cubic inches or cubic centimeters. The volume of a prism or any other 3D object is a measure of how much space it takes up. It has 12 edges and eight vertices and all of its angles are right angles.Īn important measure of a rectangular prism is the volume. But before we do that, we need to define a few terms.Ī rectangular prism, or rectangular solid, is a 6-sided object where each side, also called a face, is a rectangle. Like with most 3D figures, we can calculate the volume and the surface area by using relatively simple formulas. Hello! Today we’re going to examine the most common of 3D figures, the rectangular prism, also known as a rectangular solid. ![]()
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