![]() 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 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 A trapezoidal prism is a three dimensional solid that has two congruent trapezoids for its top and lower base. You can see sides a, b, c and d in the diagram. Use this volume of a trapezoidal prism calculator to find the volume by using area and height values of trapezoidal prism. In other words, multiply together the length, height, and average of A and B. If the prism length is L,trapezoid base width B, trapezoid top width A, and trapezoid height H, then the volume of the prism is given by the four-variable formula: V (L, B, A, H) LH (A + B)/2. Learn how to find the volume and the surface area of a prism. 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 Formula for Volume of a Trapezoidal Prism. 25K views 9 years ago Volume and Surface Area. You can calculate the lateral area of a trapezoidal prism in four steps: It is measured in cubic units, such as cm 3, m 3, in 3, ft 3, yd 3. To understand the calculation of the lateral area of a trapezoidal prism, let's take the following trapezoidal prism as an example: The volume of a prism is the total amount of space it occupies in the three-dimensional plane. Let us solve some examples involving prisms and the above formulas. Volume Base Area × Height, here, height is the distance between the 2 bases or the length of the prism. Check out our rectangular prism calculator for more information. here, height is the distance between the 2 bases or the length of the prism. Remember to include the units: for instance, if your measurements are in inches (in), the volume will be in cubic inches (in³). Hence, we compute the volume as 2 × 5 × 7 70. The lateral area is the sum of the areas of all the sides of an 3D object besides the base and the top. To see how to get this result, recall the formula for the volume of a rectangular prism: volume length × height × width.
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