SOLUTION: A card board box manufacturer wishes to make open boxes from square pieces of cardboard of side 12 inches by cutting equal squares from the four corners and turning up the sides.

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Question 1087541: A card board box manufacturer wishes to make open boxes from square pieces of cardboard of side 12 inches by cutting equal squares from the four corners and turning up the sides.
a.Let x inches be the length of the side of the square to be cut out:
Express the number of cubic inches in the volume of the box as the function of x
b. What is the domain of the resulting function?
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
The base area once the flaps are folded, %2812-2x%29%2A%2812-2x%29.

Height of open box is x.

VOLUME is x%2812-2x%29%5E2


You think about the domain. You can start by recognizing 12-2x must be between 0 and 12.