lateral surface area of a trapezoidal prism calculator

Lateral surface area of a trapezoidal prism calculator how to#

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.

Lateral surface area of a trapezoidal prism calculator how to#

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. Hence, the surface area of this trapezoidal prism is 7 m × (7 m + 3 m) + 10 m × (4 m + 7 m + 4 m + 3 m) = 250 m².Derivation of Surface Area of Trapezoidal Prism The last step is to compute the surface area using the following formula: The height of the trapezoidal prism is 7 m.įollowing the diagram, you can see the side a, side b, side c, and side d of the trapezoidal prism are 4 m, 7 m, 4 m, and 3 m respectively.Ĭalculate the surface area of the trapezoidal prism The same as before, the length of the trapezoidal prism is 10 m. You can calculate the surface area of a trapezoidal prism in four steps: The surface area is the sum of the areas of all the sides of an 3D object, incising its base and top.įor the surface area calculation, we will use the same trapezoidal prism as the last example. Hence, the lateral area of this trapezoidal prism is 10 m × (4 m + 7 m + 4 m + 3 m) = 180 m².Īfter understanding how to find the lateral area of a trapezoidal prism, let's talk about surface area. The last step is to compute the lateral area using the following formula:

For this trapezoidal prism, these lengths are 4 m, 7 m, 4 m, and 3 m respectively.Ĭompute the volume of the trapezoidal prism

You can see sides a, b, c and d in the diagram. In this example, the length of the trapezoidal prism is 10 m.įor our example, the height of the trapezoidal prism is 7 m.ĭetermine the lengths of sides a, b, c, and d You can calculate the lateral area of a trapezoidal prism in four steps: To understand the calculation of the lateral area of a trapezoidal prism, let's take the following trapezoidal prism as an example: Check out our rectangular prism calculator for more information. The lateral area is the sum of the areas of all the sides of an 3D object besides the base and the top.