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. 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. Use this volume of a trapezoidal prism calculator to find the volume by using area and height values of trapezoidal prism. Volume of prism Area of cross section x depth. Thus, the volume of the prism is 70 cubic centimeters (cc). To calculate the volume of a prism, we find the area of the cross section and multiply it by the depth. Volume (V) = 7 x 4 x ((3+2)/2) = 28 x 2.5 A prism is a 3-dimensional solid which has two of its opposing surface the same in both shape and dimension. 1, i.e., the first formula, the expression can be written as: i.e., volume of a prism base area × height of the prism. The top and bottom widths are 3 and 2 centimeters respectively. The volume of a prism can be obtained by multiplying its base area by total height of the prism. Either a rectangle, triangle, parallelogram, trapezium or circle. The cross section will always be a simple 2D shape. The calculator uses this formula to calculate the volume of the trapezoidal prism based on the users input. Where a and b are the lengths of the parallel sides of the trapezium, h is the height of the trapezium, and l is the length of the prism. Calculate the volume of a trapezoidal prism having a length of 7 centimeters and a height of 4 centimeters. To find the volume of any prism, multiply the cross sectional area by the length. The formula for the volume of a trapezoidal prism is: V 0.5 (a+b) h l.
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