SOLUTION: The volume of a rectangular Chinese box is given by the formula V=LWH. The Volume is 297cu units. Find the width and length. Length = x+2 width = x height = 3 can you sh

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Question 342882: The volume of a rectangular Chinese box is given by the formula V=LWH. The Volume is 297cu units. Find the width and length.
Length = x+2
width = x
height = 3
can you show the steps also?
Answer by nyc_function(2741) About Me  (Show Source):
You can put this solution on YOUR website!
V = LWH
Let V = 297

Let L = (x + 2)

Let W = x
Let H = 3
297 = (x + 2)(x)(3)
297 = (x + 2)(3x)
297 = 3x^2 + 6x
0 = 3x^2 + 6x - 297
At this point, we have a quadratic equation.
After doing the math, I got x = -11 and x = 9.
Since we are talking about distances, we reject -11 and accept x = 9.
The length = x + 2 or 9 + 2 = 11.
Thw width is 9.