![]() ![]() After that, we can find the area and the volume of the trapezoidal prism. If the units of given dimensions of a trapezoidal prism are different then, first we need to change the units of the dimensions of any two dimensions as the unit of the third dimension. If the Units of Dimensions of a Trapezoidal Prism Are Different, Then How Can You Find the Volume of the Trapezoidal Prism? When the height of a prism is given, the height can be multiplied by the area to find the volume of the trapezoidal prism. The height of a prism is the total distance between the two congruent faces of the prism. How Can You Find the Volume of a Trapezoidal Prism when the Height is given? The volume of a trapezoidal prism can be calculated by multiplying the area of its trapezoidal faces by its total length. ![]() How Can You Calculate the Volume of a Trapezoidal Prism? The formula for the volume of the trapezoidal prism is the area of base × height of the prism. The volume of a trapezoidal prism is the product of the area of the base to the height of the prism cubic units. What Is the Formula To Find the Volume of a Trapezoidal Prism? The formula for the volume of a trapezoidal prism is the area of base × height of the prism cubic units. The volume of a trapezoidal prism is the capacity of the prism. What Do You Mean by the Volume of Trapezoidal Prism? Thus, a trapezoidal prism has volume as it is a three-dimensional shape and is measured in cubic units. The volume is explained as the space inside an object. A three-dimensional solid has space inside It. It is measured in cubic units such as m 3, cm 3, mm 3, ft 3. The area of the base ( area of trapezoid) = \(\dfrac × L\)įAQs on Volume of Trapezoidal Prism Does a Trapezoidal Prism Have Volume?Ī prism is a three-dimensional solid. The volume of a trapezoidal prism is the space it occupies in the three-dimensional plane. We know that the base of a trapezoidal prism is a trapezium/ trapezoid. Consider a trapezoidal prism in which the base has its two parallel sides to be \(b_1\) and \(b_2\), and height to be 'h', and the length of the prism is L. We will use this formula to calculate the volume of a trapezoidal prism as well. i.e., volume of a prism = base area × height of the prism. The formula for the volume of a trapezoidal prism is: V 0.5 (a+b) h l. The volume of a prism can be obtained by multiplying its base area by total height of the prism. We will see the formulas to calculate the volume trapezoidal prism. ![]() It is measured in cubic units such as mm 3, cm 3, in 3, etc. 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.The volume of a trapezoidal prism is the capacity of the prism (or) the volume of a trapezoidal prism is the space inside it. 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 Suppose we have a trapezoidal prism with a shorter base (a) of 5 meters, a longer base (b) of 8 meters, heights (h1 and h2) of 3 meters each, and a lateral side length (c) of 4 meters. You can see sides a, b, c and d in the diagram. Example of Area of Trapezoidal Prism Calculator. 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.
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