In order to find the area of a trapeze you must add the area and the base and divide it by 2. Then divide the result by the height.
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A trapezium is a two dimensional figure. It can be said to have 0 or infinite height, therefore the volume of all trapezia is 0 or infinite. The area of a trapezium can be found by the multiplying the mean average of the parallel sides by the perpendicular height between them. If a and b are the lengths of the parallel sides, and h is the perpendicular height between them, then: area_trapezium = ½(a + b) × h If you have a trapezoidal prism, then its volume is given by the area of the trapezia at the ends multiplied by the length (l) between them: volume_trapezoidal_prism = ½(a + b) × h × l
A quadrilateral, which includes squares, rhombi, parallellograms and trapezia...
There are infinitly many types. However some broad (and not necessaryly exclusive) classes of trapezia are Right trapezia (with at least 1 right angle) Isoceles trapeziea (the non parallel sides are equal in length) parallelograms (both pairs of sides are parallel)
-- every parallelogram (including rectangles, squares, and rhombera)-- trapezia (trapezoids)-- every regular polygon with an even number of sides
The vertical cross sections are trapezia or triangles. The horizontal cross sections are rectangles which are mathematically similar to the base.