SOLUTION: Volume of a rectangular Chinese box: The volume of this box is 192 cu. units. Find its length and width.

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Question 182368This question is from textbook Developmental Mathematics
: Volume of a rectangular Chinese box: The volume of this box is 192 cu. units. Find its length and width. This question is from textbook Developmental Mathematics

Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
Volume of a rectangular Chinese box: The volume of this box is 192 cu. units. Find its length and width.
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Not sufficient information.
192 = 2*4*24
192 = 4*6*8 and other combinations.
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Received additional info, the box is 4 by x by (x+2)
4*x*(x+2) = 192 (that looks familiar, 4 by 6 by 8, but I'll work it out)
x*(x+2) = 48

(x-6)*(x+8) = 0
x = 6 (Ignore the -8, too difficult to construct)
Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc)
Quadratic equation (in our case ) has the following solutons:



For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

Discriminant d=196 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: 6, -8. Here's your graph:
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