1/2 x (sum of bases) x height
The formulae are quite similar; you multiply base x height, where the height is perpendicular to the base. In the case of a trapezium, you need to calculate the average of the two bases first.
The volume is the Area multiplied by thickness (if the thickness is constant). Area = 1/2 ((a+b)*h) a = the base length b = the top length h = the height (constant) t = the thickness (constant) Volume = Area*t Please note that a trapezium and a trapezoid are defined differently in England and the USA. In England the trapezium has the base and top parallel and the area calculation above is for that definition but the area calculation for a trapezoid is different. The volume will still be Area*t.
1/2 ( a + b) x h
None but if you mean area it is: Area measured in square units = 0.5*(sum of parallel sides)*height
can any one tell me wat is a trapezium
0.5 * (a + b) * h
Area = 1/2*(sum of the parallel sides)*height
Area of a trapezium = 0.5*(sum of parallel sides)*height
1 - (a+b) X h 2
Simple. It is zero, since a six sided trapezium cannot exist! By definition, a trapezium is a quadrilateral and so it can have exactly four sides - no more, no fewer!
area of trapezium=1/2{a+b}h
Area = 0.5*(sum of parallel sides)*heightNote: A trapezium in the UK is known as a trapezoid in the USA
The area of a trapezium is found because: 0.5*(sum of parallel sides)*height = area
Let the two parallel sides be a and b, and the distance between them, the height of the trapezium, be h. Then: area of trapezium = 1/2 (a+b) h That is half the sum of the two parallel sides times the height of the trapezium.
Area = 0.5*(sum of parallel sides)*heightNote: A trapezium in the UK is known as a trapezoid in the USA
Area = a [(b1 + b2)/2]a = altitude (height) of the trapezoidb1 = length of one baseb2 = length of the other base
The formula for the area of a trapezium (or trapezoid) works by averaging the lengths of the two parallel sides (bases) and then multiplying by the height. This approach effectively transforms the trapezium into a rectangle with the same height and an area equivalent to that of the trapezium. By using the average of the bases, the formula accounts for the varying widths at either end, ensuring an accurate calculation of the total area. Thus, the formula ( \text{Area} = \frac{(b_1 + b_2)}{2} \times h ) captures the geometric properties of the shape.