Asked by Sam
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?
b) What is the domain of this model?
Answers
Answered by
Reiny
let the side of the square to be cut out be x "
then the
length = 24-2x
width = 14-2x
height = x
volume = x(14-2x)(24-2x)
clearly domain is:
x>0 and 24-2x>0 and 14-2x>0
x>0 and x<12 and x<7
so domain: 0 < x < 7
then the
length = 24-2x
width = 14-2x
height = x
volume = x(14-2x)(24-2x)
clearly domain is:
x>0 and 24-2x>0 and 14-2x>0
x>0 and x<12 and x<7
so domain: 0 < x < 7
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