SOLUTION: A rectangular piece of metal is 5 in longer than it is wide. Squares with sides 1 in long are cut from the four corners and the flaps are folded upward to form an open box. If the
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Question 1050782: A rectangular piece of metal is 5 in longer than it is wide. Squares with sides 1 in long are cut from the four corners and the flaps are folded upward to form an open box. If the volume of the box is 644 in^3, what were the original dimensions of the piece of metal?
Answer by josgarithmetic(39620) (Show Source): You can put this solution on YOUR website!
Draw the net and label all of the parts.
Length, L
Width , w
1 inch square removed at each corner;
Dimensions for the base formed when flaps folded up, (L-2*1) and (w-2*1).
1, ALSO the "height" of the box.
What else is given?
.
Equation showing volume:
Substitution for L:
The rest is arithmetic of Intermediate Algebra level quadratic equation skills. The longer part, for some people, is to do the analysis leading to the quadratic equation to be solved.
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