2. The diagram below shows a manufacturer cuts squares from the corners of a 16 cm by 6 cm piece of sheet metal and folds the metal at the corners to make an open top box.
a) Write the volume of the box as a function of x.
b) State the domain of the volume function.
c) Find the value of the x that maximizes the function.
d) Find the maximum volume the box can hold. Round to the nearest tenth.