Question: A 100 cm long gutter is made of three strips of metal, each 5 cm wide; Figure shows a cross-section.
(a) Find the volume of water in the gutter when the depth is h cm.
(b) What is the maximum value of h?
(c) What is the maximum volume of water that the gutter can hold?
(d) If the gutter is filled with half the maximum volume of water, is the depth larger or smaller than half of the answer to part (b)? Explain how you can answer without any calculation.
(e) Find the depth of the water when the gutter contains half the maximum possible volume.
