The total surface area of a box is 100. The length of the box is twice its width, as well as 3 less than its height. How many units are in the height of the box?
+2862 Set up variables
Length = 6x
Width = 3x
Height = 6x - 3
Commence calculations
For surface areas:
L * W surfaces = \(36x^2\)
L * H surfaces = \(72x^2-36x\)
W * H surfaces = \(36x^2-18x\)
Set up equation
\(144x^2-54x = 100\)
\(144x^2-54x - 100 = 0\) divide by 2
\(72x^2-27x-50=0\)
72x^2-27x-50=0 = {x=(25/24), x=-((2/3))}
So \(x=25/24\)
now solve for height
