You are constructing a box for your cat to sleep In. The plush material For the square bottom of the box costs 5 dollars per square foot and the material for the sides cost 3 dollars per square foot. You need a box with volume 4 R3. Use x to represent the length of the square base, and use b to represent the height of the box. (a) Determine a formula for the height h in terms of x. h- (b) Determine a formula for the total cost C(x) of the materlals for the box. C(x) - (c) Find the dimensions (In Ft) of the box that minlmize cost. length of the base ft height ft