A pyramid is constructed on a cuboid. The figure has

In a geometric progression, the first term is 153 and the sixth term is \(\frac{17}{27}\). The sum of the first four terms is

An arithmetic progression has first term 11 and fourth term 32. The sum of the first nine terms is

A triangle has angles 30o, 15o and 135o. The side opposite to the angle 30o is length 6cm. The side opposite to the angle 135o is equal to

A regular hexagon is constructed inside a circle of diameter 12cm. The area of the hexagon is