Question

Given the sum of all the edges of the rectangular solid at the right is 76cm, the area of all of its faces is 228 cm^2, and its volume is 216 cm^3.

Find its height, width and length.
[hint- Let the height, width and length be the roots of a cubic polynomial x^3 + ax^2 + bx +c=0. How are the height, width and length related to a, b, and c? How are the above data related to a, b, and c?]