possible length, width,height of rectangular prism with surface area of 110 square centimeters?

Question

need the height, width and length of a rectangular prism that equals 110 centimeters

Answer 1

The formula a=(55-bc)/(b+c) gives all possible answers. For example: put b=1 and c=6, then a=7 by the formula. Integer solutions include: 1, 1, 27; 1, 3, 13; 1, 6, 7. Height, width and length are interchangeable. Non-integer values include: 1/15, 6, 9; 5/3, 5, 7; 3.1, 4, 6; 2, 3, 9.8. All dimensions are in centimetres and the surface area is 110sq cm.