SOLUTION: Volume of a rectangular box is 48 cu units. Find the width and length of the box. The length is x+2, width is x, height is 2
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Question 980212: Volume of a rectangular box is 48 cu units. Find the width and length of the box. The length is x+2, width is x, height is 2 Answer by Cromlix(4381) (Show Source):
You can put this solution on YOUR website! Hi there,
Volume of a rectangular box
= length x width x height
48 = (x + 2) x (x) x (2)
48 = 2x^2 + 4x
2x^2 + 4x - 48 + 0
Divide throughout by 2
x^2 + 2x - 24 = 0
Factorise
(x - 4)(x + 6) = 0
x + 6 = 0
x = -6 (no answer as -ve)
x - 4 = 0
x = 4.
Therefore:
Width = 4 units
Length = 6 units
Hope this helps:-)
