SOLUTION: Nathan has sheet of metal which is a 8 cm by 8cm square. He wants to cut out identical square which are x cm by x cm from the corners. He will then bend the sheets along the dashed

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Nathan has sheet of metal which is a 8 cm by 8cm square. He wants to cut out identical square which are x cm by x cm from the corners. He will then bend the sheets along the dashed      Log On


   

Question 1177622: Nathan has sheet of metal which is a 8 cm by 8cm square. He wants to cut out identical square which are x cm by x cm from the corners. He will then bend the sheets along the dashed lines to form an open container. Write a polynomial function V(x) modeling the volume of the box. What is the maximum possible volume of the box?
Answer by josgarithmetic(39628) About Me  (Show Source):
You can put this solution on YOUR website!
V%28x%29=x%288-2x%29%5E2

Also
V%28x%29=x%2884-32x%2B4x%5E2%29
V%28x%29=84x-32x%5E2%2B4x%5E3

You could look for derivative of V, and set derivative equal to 0, to help find maximum volume.