SOLUTION: an open wooden box is a cube with side x cm. The box, including its bottom, is made ofwood that is 1 cm thick. find a polynomial for the interior volume of the cube. Please hel

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: an open wooden box is a cube with side x cm. The box, including its bottom, is made ofwood that is 1 cm thick. find a polynomial for the interior volume of the cube. Please hel      Log On


   



Question 266917: an open wooden box is a cube with side x cm. The box, including its bottom, is made ofwood that is 1 cm thick. find a polynomial for the interior volume of the cube.
Please help

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
an open wooden box is a cube with side x cm.
The box, including its bottom, is made of wood that is 1 cm thick. find a polynomial for the interior volume of the cube.
:
Inside dimensions of an open box (x-2) by (x-2) by (x-1)
;
V(x) = (x-2) * (x-2) * (x-1)
V(x) = (x^2 - 4x + 4) * (x-1)
V(x) = x^3 - 5x^2 + 8x - 4