Problema Solution
A rectangular piece of cardboard is a = 9 in. longer than it is wide. Squares 2 in. on a side are to be cut from each corner and then the sides folded up to make an open box with a volume of
72 in^3.
Find the length and width of the piece of cardboard.
length
width
Answer provided by our tutors
let
l = length of the cardboard
w = the width of the cardboard
rectangular piece of cardboard is 9 in. longer than it is wide
l = w + 9
the volume of open box V = w*l*h where h is the height and in our case h = 2 in
w*l*h = 72
2w*l = 72
by solving the system of equations
l = w + 9
2w*l = 72
we find
l = 12 in
w = 3 in
the length is 12 inches.
the width is 3 inches.