1, i.e., the first formula, the expression can be written as: The top and bottom widths are 3 and 2 centimeters respectively. Examples Example #1Ĭalculate the volume of a trapezoidal prism having a length of 7 centimeters and a height of 4 centimeters. Go through the following examples to understand how the volume of a trapezoidal prism is calculated. The √ sign indicates square root of the entire bracket value.

Other values have the same names as mentioned in the first formula. In case the slant height is given instead of the actual height, then the formula to calculate the volume is: Volume (V) = L x H x ((P+Q)/2) - (equation 1) Then the formula for calculating its volume is: Let’s say that one knows the top and bottom width values, length, and height of the figure. Volume of a Trapezoidal Prismīy referring to the above diagram, all the components of a trapezoidal prism are understood. But when the slant height is known instead of the actual height, then a different formula needs to be used. Mostly, the calculations can be done if only the bottom and top width, height, and length are known. The following section will give you a step-by-step explanation of calculating the volume of a trapezoidal prism and its formula.

With their values known, it’s possible to calculate the volume and surface area of a trapezoidal prism.

The most important components of this geometric shape are its length, height, slant height, base width, and top width. But, in certain prismatic structures, the height may differ on different edges resulting in an asymmetrical trapezoidal prism.Ī trapezoidal prism is a three dimensional geometric shape that consists of a trapezoid or trapezium shape on one cross section, and a rectangle on the other cross sections. Most of the problems concerning trapezoidal prisms involve symmetrical shapes, i.e., the height on all sides is constant. Stumped over calculations involving the volume of a trapezoidal prism? You need not worry, as ScienceStruck will provide you with the method to find its volume with some examples.

Find the volume of the prism