Question 906769
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