Therefore, the area of the surface of a trapezoidal prism is A = 2T + P1 + P2 + P3 + P4. The area of a trapezoid is defined as T = (b1 + b2) xa / 2 and the areas of the parallelograms are P1 = hxb1, P2 = hxb2, P3 = hxd1 and P4 = hxd2, where"b1"and"b2"are the bases of the trapezoid,"d1"and"d2"the non-parallel sides,"a"is the height of the trapezoid and"h"the height of the prism. To calculate the surface area of a trapezoidal prism, we need to know the area of the trapezoid and the area of each parallelogram involved.Īs seen in the previous image the area involves two trapezes and four different parallelograms. Trapeze scalene : is that trapezoid that is not isosceles nor rectangle its four sides have different lengths.Īs you can see according to the type of trapezoid used will obtain a different prism. Tracecium isosceles : is a trapezoid such that its non-parallel sides have the same length. Rectangle trapezoid : it is that trapezoid such that one of its sides is perpendicular to its parallel sides or that it simply has a right angle. In the particular case of the trapezoid we can find three different types of bases: You can also have an oblique trapezoidal prism, whose construction is similar to the previous one, you only have to draw the four lines parallel to each other.Īs said before, the shape of the prism depends on the polygon. Then, from each vertex, a vertical line of length"h"is projected and finally another trapezo is drawn so that its vertices coincide with the ends of the lines drawn previously. To draw the straight trapezoid prism you begin by drawing a trapezoid. To draw it, it is first necessary to define what a trapezoid is.Ī trapezoid is an irregular polygon of four sides (quadrilateral), such that it has only two parallel sides called bases and the distance between its bases is called the height. To see the characteristics of a trapezoidal prism, you must start by knowing how to draw, then what properties the base meets, what the surface area is, and finally how its volume is calculated. Therefore, it depends on which quadrilateral is involved. If the polygons involved in a prism are squares, then this is different from a prism involving diamonds for example, even though both polygons have the same number of sides.
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