area of the trapezoid
Kapitoly: Area of the square, Area of the rectangle, Area of the circle, Area of the trapezoid, Area of the parallelogram, Area of the rhombus, Area of a regular n-gon, The surface of a sphere, The surface of a cube, The surface of a cuboid, Surface of a cylinder, The surface of a needle
By the volume of a trapezoid we mean the amount of area that the trapezoid occupies. A trapezoid typically looks like this:
The content S of this trapezoid is then equal to
$$\Large S = \frac{a+c}{2}\cdot v$$
where a is the length of the bottom edge of AB, c is the length of the top edge of CD, and v is the height, i.e. the length of the line segment AE.