Problema Solution
The sum of the length, width, and height of a rectangular box is 17 cm. The length is one-third the
height. The sum of the length and height exceeds twice the width by 2 cm. Find the length, width, and height of the box.
Answer provided by our tutors
let
l = the length of the rectangular box
w = the width of the rectangular box
h = the height of the rectangular box
the sum of the length, width, and height of a rectangular box is 17 cm
l + w + h = 17
the length is one-third the height
l = (1/3)h
the sum of the length and height exceeds twice the width by 2 cm
l + h = 2w + 2
by solving the system of equations
l + w + h = 17
l = (1/3)h
l + h = 2w + 2
we find
l = 3 cm
w = 5 cm
h = 9 cm
click here to see the step by step solution of the system of equations
the length is 3 cm, the width is 5 cm and the height is 9 cm.