It seems to me that a frustum is the 3D analog. I like to think of this as saying that the area of a trapezoid is the same as the area of the rectangle with the same height and average width of the trapezoid. In this formula, 'b1' and 'b2' stand for the length of the bases of the trapezoid. The area of a trapezoid with height h and base lengths b1 and b2 is given by. 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 surface area of a trapezoidal prism can be given with this formula: (b1+b2)h + PH. 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. Follow the instructions and example calculation to understand how the formula works and apply it to your own scenarios. The formula provided below will help you determine the volume of such a prism based on its dimensions. The top width is 6 cm, and slant height is 2 cm. A trapezoidal prism is a three-dimensional shape with two parallel bases that are trapezoids. Calculate the unknown defining side lengths, circumferences, volumes or radii of a various geometric shapes with any 2 known variables. I am confused what is the correct approach. I saw online different methods giving different answers to this question. Example #2Ī trapezoidal prism has a length of 5 cm and bottom width of 11 cm. Calculator online for a the surface area of a capsule, cone, conical frustum, cube, cylinder, hemisphere, square pyramid, rectangular prism, triangular prism, sphere, or spherical cap. A trapezoidal prism is a 3D figure made up of two trapezoids that is joined by four rectangles. Thus, the volume of the prism is 70 cubic centimeters (cc). 1, i.e., the first formula, the expression can be written as: The top and bottom widths are 3 and 2 centimeters respectively. Calculate the volume of a trapezoidal prism having a length of 7 centimeters and a height of 4 centimeters.
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