Asked by Khelany
The length of a piece of cardboard is two inches more than its width. an open box is formed by cutting out 4 inch squares from each corner and folding the sides. If the volume of the box is 672 cubic inches, find the dimensions.
Answers
Answered by
Graham
Volume of rectangular prism
672 = 4*w*(w+2)
Thus:
w^2 + 2w - 168 = 0
Solve for w, using quadratic formula
w = (-b ± √(b^2-4ac))/(2a),
where
a = 1, b = 2, c = -168
672 = 4*w*(w+2)
Thus:
w^2 + 2w - 168 = 0
Solve for w, using quadratic formula
w = (-b ± √(b^2-4ac))/(2a),
where
a = 1, b = 2, c = -168
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