Pre-Calc/Chapter 2: Polynomial, Power, and Rational Functions/2.7 Solving Equations in One Variable/2.7.2 Applications Solve the problem.An open-top rectangular box has a square base and it will ... Solve the problem.

An open-top rectangular box has a square base and it will hold 256 cubic centimeters (cc). Each side has length x cm and height y cm. The box's surface area is given by

S(x) =  + x2.

Estimate the minimum surface area and the value of x that will yield it.]]> /9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAMCAgMCAgMDAwMEAwMEBQgFBQQEBQoHBwYIDAoMDAsKCwsNDhIQDQ4RDgsLEBYQERMUFRUVDA8XGBYUGBIUFRT/2wBDAQMEBAUEBQkFBQkUDQsNFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBT/wAARCAAmACADASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBRIhMUEGE1FhByJxFDKBkaEII0KxwRVS0fAkM2JyggkKFhcYGRolJicoKSo0NTY3ODk6Q0RFRkdISUpTVFVWV1hZWmNkZWZnaGlqc3R1dnd4eXqDhIWGh4iJipKTlJWWl5iZmqKjpKWmp6ipqrKztLW2t7i5usLDxMXGx8jJytLT1NXW19jZ2uHi4+Tl5ufo6erx8vP09fb3+Pn6/8QAHwEAAwEBAQEBAQEBAQAAAAAAAAECAwQFBgcICQoL/8QAtREAAgECBAQDBAcFBAQAAQJ3AAECAxEEBSExBhJBUQdhcRMiMoEIFEKRobHBCSMzUvAVYnLRChYkNOEl8RcYGRomJygpKjU2Nzg5OkNERUZHSElKU1RVVldYWVpjZGVmZ2hpanN0dXZ3eHl6goOEhYaHiImKkpOUlZaXmJmaoqOkpaanqKmqsrO0tba3uLm6wsPExcbHyMnK0tPU1dbX2Nna4uPk5ebn6Onq8vP09fb3+Pn6/9oADAMBAAIRAxEAPwD9Bvj5488T/Djwvpms+HoNJltxq+nWd+dTErv5Vxe29sViRCo3YnZt7NhdgGx93y4PxV+I/j3TtU8XjwWvh+Gz8H6RFqt9HrlpNPJqbss0htonjmjFtiOEfvWWXLSj5MId3SfHf4a6/wDFfwbb6DoXiLTfDZGo2d/NcajpEmob/s1xHcRoqpcwbcyQpuJLZXcAASGGD40+CXinxJqmrXOm+OLTR4PEulQaV4lgbRWn88Rq6mWxJuV+yyMksi/vBcKP3ZwSpLEtadoaSu979lbbpfp+HU1Th7vMtOtt7f57/wCexJ4b8d+O3+IHhWLU20DVPC/iuyub22ttLspoL3SUjSOSN5pWndLlCJFjZljh2vJHgENxoeDvivqXir42eJ/C32G0i8Oafo1nqNheo5ee7aS4uoZXPO0R5t8KAMnBbOGAGb4E+Evjzwx4ou73VPGPhjVdKvMwTQ2vhi7tb6O0VSsNtBc/2k6xJHkYxEcncx+di1Yfww/Zcu/hh8b7/wAa2ni+4vNBm0tNJttBvLjVruWCBHd483F1qcyOQZGGPJCgfcWMs5fWDhrdaW09fPz8/wDgGVuWDu7y0/NXa8t+35o7TVv2ZPg9r+q3up6n8KPA+o6lezPc3V5d+HLOWaeV2LPI7tGSzMxJLEkkkk1gat+zx+zroOo6Xp+p/DP4Yadf6rK0Gn2t3oGnRS3kiruZIVaMGRgoyQuSBzXtVec/G/4b33xc8N2/hVJbew0e7mE17qqylb+yaIiS3ktF2FfNEyod7MuwKcBiRtwldLQaSejdjA0X9m79nzxLaPd6R8Lfhpqtqk0ls89l4e0+ZFljcpJGWWMgMrqysvUEEHkV0vhb9nr4WeBtdtdb8N/DTwf4f1q13fZ9R0vQbW2uIdylG2SJGGXKsynB5DEdDWt8MdP8RaP4I0vTfFEGjQ6tYxi1J0DctnLGnyxyJGyL5O5QCYhuCZ2h2ABPVVbtfTYlO61CiiikMKKKKAP/2Q== 1.0000000 0.3333333 0 true true abc 2 when x = 6 cm]]> Incorrect 2 when x = 8 cm]]> Correct 2 when x = 8 cm]]> Incorrect 2 when x = 8 cm]]> Incorrect