SOLUTION: A rectangular piece of cardboard, whose area is 864 cm squared, is made into an open box by cutting a 3-centimeter square from each corner and turning up the sides. IF the box is t
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Question 722033: A rectangular piece of cardboard, whose area is 864 cm squared, is made into an open box by cutting a 3-centimeter square from each corner and turning up the sides. IF the box is to have a volume of 1620 cubic centimeters, what are the dimensions of the cardboard should you start with?
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
The original cardboard is x by y cm^2. Given is that area cm^2.
Folding up the flaps after removing each of the four 3 by 3 corners makes the base area cm^2. The height, being 3 cm, means that the volume this box holds will be cm^3.
The system to use for solving the problem is
AND
A substitution will be necessary and you will have actually a quadratic equation to solve. Maybe this is enough for you to understand and to continue.
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