Creating Rectangular Prisms with Given Surface Area

[size=150]Creation of this resource was inspired by [url=https://www.openmiddle.com/rectangular-prism-surface-area/]this problem[/url] from [url=https://twitter.com/robertkaplinsky]Robert Kaplinsky[/url].[br][br][/size][size=150][b]Goal here:[/b] Adjust the dimensions of the rectangular prism shown below to create one with the given surface area. [br][br]For simplicity sake, the edge lengths of this prism are positive integers ranging from 1 to 9. [br]Given this, the number of possible unique solutions for each problem is provided. [br][br][/size][size=150][b]Note:[/b] The number of UNIQUE solutions is given. Thus, a prism having LENGTH = 4, WIDTH = 5, and HEIGHT = 6 is equivalent to a prism having LENGTH = 6, WIDTH = 4, and HEIGHT = 5. [/size]

Information: Creating Rectangular Prisms with Given Surface Area