SOLUTION: Hi, really need some help here! Pretty confused!! "A box with no top that has a volume of 1000cm^3 is to be constructed from a 22cm by 30cm sheet of cardboard by cutting squares o

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Hi, really need some help here! Pretty confused!! "A box with no top that has a volume of 1000cm^3 is to be constructed from a 22cm by 30cm sheet of cardboard by cutting squares o      Log On


   

Question 906769: Hi, really need some help here! Pretty confused!!
"A box with no top that has a volume of 1000cm^3 is to be constructed from a 22cm by 30cm sheet of cardboard by cutting squares of equal size from each corner, and folding up the flaps. What size square should be cut from each corner?"
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
let the side of square cut be x
length of box = (30-2x)
width of box = (22-2x)
height of box = x
volume of box = L*W*H
(30-2x)(22-2x)*x= 1000
x(660-60x--44x+4x^2)=1000
x(4x^2-104x+660)=1000
4x(x^2-26x+165)=1000
x(x^2-26x+165)=250
x^3-26x^2+165x-250=0
Solve the cubic equation
x =2.23 OR 6.47 OR 17.3
17.3 ignore