Assignment9: Problem 8 Previous Problem Problem List Next Problem (1 point) A carpenter has been asked to build an open box with a square base, where an open box means a box without a top. The sides of the box will cost $6 per square meter, and the base will cost $3 per square meter. What are the dimensions of the box of maximal volume that can be constructed for $36 ? If x is the length of one of the sides of the base and z is the height of the box. Find a function f(x) for the volume of the box. NOTE: The function should just be in terms of x. f (x ) = Let x" and z" be the dimensions that maximize the volume of the box. X Note: You can earn partial credit on this problem. Preview My Answers Submit Answers You have attempted this problem 0 times. You have unlimited attempts remaining. Email WeBWork TA