SOLUTION: An open 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. I am not so

Question 166207This question is from textbook introductory algebra
: An open 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.
I am not so great at word problems, I would appreciate the help. This question is from textbook introductory algebra

Answer by MRperkins(300) (Show Source): You can put this solution on YOUR website!
the volume of a cube is l*w*h=A where length=width=height
so the external volume is x*x*x or x^3
Since the material is 1 cm thick, you lose 1cm on the left and right of the length,
you lose 1cm on the front and rear of the width,
and you lose 1cm on the bottom
so now your length = x-2cm
width = x-2cm
height = x-1cm
Internal volume =

.
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