SOLUTION: If there is have 38 square inches of cardboard to make a box that has a width of 1/2 inch and the height must be 5 inches how do you find the length the box should be

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Question 457463: If there is have 38 square inches of cardboard to make a box that has a width of 1/2 inch and the height must be 5 inches how do you find the length the box should be
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
If there is 38 square inches of cardboard to make a box that has a width
of 1/2 inch and the height must be 5 inches how do you find the length the box should be.
:
Surface area = 2(L*W) + 2(L*H) + 2(W*H)
:
H = 5"
W = .5"
Find L
2(L*.5) + 2(L*5) + 2(.5*5) = 38
simplify, divide thru by 2, results
(L*.5) + (L*5) + (.5*5) = 19
.5L + 5L + 2.5 = 19
5.5L = 19 - 2.5
5.5L = 16.5
L = 16.5%2F5.5
L = 3" is the length
:
:
Check this
2(3*.5) + 2(3*5) + 2(.5*5) =
3 + 30 + 5 = 38