Visual in the figure below: You need two measurements: the height of the cylinder and the diameter of its base. Also, in case of any problem where all the values of the trapezoidal prism are given in different units, remember to convert them to a unit that you are comfortable with before proceeding with the calculations. The volume formula for a cylinder is height x x (diameter / 2)2, where (diameter / 2) is the radius of the base (d 2 x r), so another way to write it is height x x radius2. Thus, the volume of the prism is 268 cubic centimeters (cc).Īlways remember to use the right units when you find the volume, as sometimes instead of centimeters, even inches and millimeters can be used for expressing the given data. Find the volume of this geometric structure.Īs the actual height is not given, we have to use equation no. The top width is 6 cm, and slant height is 2 cm. Example #2Ī trapezoidal prism has a length of 5 cm and bottom width of 11 cm. Find the area of the trapezoidal base by decomposing the trapezoid. Thus, the volume of the prism is 70 cubic centimeters (cc). Find the volume of this right trapezoidal prism. 1, i.e., the first formula, the expression can be written as: ![]() The top and bottom widths are 3 and 2 centimeters respectively. 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.Calculate the volume of a trapezoidal prism having a length of 7 centimeters and a height of 4 centimeters. ![]() 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. Use this volume of a trapezoidal prism calculator to find the volume by using area and height values of trapezoidal prism. 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. Note: The formula for the volume of a regular cone or right. 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 That means if we take 1/3rd of the volume of the cylinder, we get the formula for cone volume. 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.
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