Suppose an airline policy states that all baggage must be box shaped with a sum of length, width, and height not exceeding 132 in. what are the dimensions and volume of a square-based box with the greatest volume under these conditions? write a function for the volume v of the box in terms of w, one of the edges of the square bottom.

Water in a partially filled large tank is to be supplied to the roof top, which is 8 m above the water level in the tank, through a 2.2-cm-internal-diameter pipe by maintaining a constant air pressure of 300 kpa (gage) in the tank. if the head loss in the piping is 2 m of water, determine the discharge rate of the supply of water to the roof top in liters per second.