Problema Solution
A box of cereal has a width of 2 inches. Its height is 3 inches longer than its length. If the volume of the box is 176 inches, what are the length and height of the box?
Answer provided by our tutors
let
w = 2 in the width
l = the length, l>0
h = the height, h>0
height is 3 inches longer than its length
h = 3 + l
the volume of the box is 176 inches
V = w*l*h
plug w = 2 and h = 3 + l into the last equation:
2*l*(3+l) = 176
by solving we find
l = 8 in
click here to see the step by step solution of the quadratic equation
h = 3 + 8
h = 11 in
the length of the box is 8 inches.
the height of the box is 11 inches.