Volume and Surface Area of Composite Solids

A prism-shaped water drainage system is such that the cross section consists of a trapezium and a small rectangle as shown in the figures below.

1. On a sunny day, only part of the rectangular part is submerged by water. Given that the water flows at a constant speed of \(5\)m/s, find:
   
   1. the water-draining rate, which is given by the volume of water that flows through the cross section per unit of time in m\(^3\)/s, and
   2. the volume of water drained in \(30\) minutes, assuming that the area of the cross section of water and the speed at which water flows do not change.
   3. the portion of the drainage capacity of the system used on this day, which is given by the area of the cross section of water as a percentage of the area of the cross section of the system, correcting your answer to \(2\) decimal places.
2. On a rainy day, the rectangular part is completely submerged by water and the area of the trapezoidal part of the cross section of water is \(26\) m\(^2\). Given that the water flows at a constant speed of \(15\)m/s, find:
   
   1. the water-draining rate in terms of the volume of water that flows through the cross section per unit of time in m\(^3\)/s, and
   2. the volume of water drained in \(30\) minutes, assuming that the area of the cross section of water and the speed at which water flows do not change.
   3. the portion of the drainage capacity of the system used on this day, which is given by the area of the cross section of water as a percentage of the area of the cross section of the system, correcting your answer to \(2\) decimal places.