To find: The length, width and height of the box.
The length of the box is 15 ft, width is 2 ft and height is 6 ft.
The volume of plywood box is .
The length of box is 9 ft greater than its height and width is 4 ft less than the height.
Formula used: Volume of cuboid
Let the height of box be x.
Tabulate the given information into the language of algebra.
|In words||In algebra|
|Height of box||x|
|Length of box|
|Width of box|
Model the equation for the above information.
Simplify the above equation for x.
Factor the above polynomial.
Height cannot be negative, so the height of the box is 6 ft.
Length of the box is,
Width of the box is,
Thus, the length of the box is 15 ft, width is 2 ft and height is 6 ft.
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