An isosceles trapezium ABCD with sides is given:
Prove the height of the trapezium measures . Calculate the volume of an upright prism with height
, which has the trapezium ABCD as its base.
Calculate the area of the trapezium obtained by the central extension of the trapezium
. The stretch has its centre at the point A and the factor
.
The trapezium ABCD rotates around its bisector for . Calculate the area and volume of the resulting revolution.