Posted by Sam on Sunday, June 24, 2012 at 12:04am.
a) Write an equation to represent the volume of an open box constructed by cutting congruent squares from the corners of a 24" by 14" piece of cardboard.
b) What is the domain of this model?

AFM (MATH)  Reiny, Sunday, June 24, 2012 at 8:12am
let the side of the square to be cut out be x "
then the
length = 242x
width = 142x
height = x
volume = x(142x)(242x)
clearly domain is:
x>0 and 242x>0 and 142x>0
x>0 and x<12 and x<7
so domain: 0 < x < 7