A box designer has been given a task of determining the surface area of various open boxes (no lids) that can be constructed by cutting four equal-sized square corners from an 8 inch by 11.5 inch sheet of cardboard and folding up the sides. surface area is the total area of the box's sides and bottom. what quantities vary in situation? what quantities remain constant? Explain

a) What quantities vary in this situation? What quantities remain constant? Explain

b) Create an illustration to represent the situation and label the relevant quantities/attributes. Define formula for the length of the base of the box in terms of the length of the side of the square cutout and the width of the both in terms of the length of the side of the square cutout

c) Define a formula that relates to total surface area, s (measured in square inches) of the open box to the size of the square cutout x measured in inches. Use function notation