SOLUTION: What dimensions does a rectangular prism have if the surface area is 350 cm squared? The closest I got was 346(with the dimensions of 13,5 and 6)

Algebra ->  Surface-area -> SOLUTION: What dimensions does a rectangular prism have if the surface area is 350 cm squared? The closest I got was 346(with the dimensions of 13,5 and 6)      Log On


   



Question 848108: What dimensions does a rectangular prism have if the surface area is 350 cm squared? The closest I got was 346(with the dimensions of 13,5 and 6)
Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
2*a*b+4*b*c=350
a = 1, b = 1, c = 87
a = 1, b = 5, c = 17
There are five integer solutions with a=1
There are a total of 121 integer solutions
Here are some of them
a = 3, b = 7, c = 11
a = 3, b = 5, c = 16
a = 5, b = 5, c = 15
a = 7, b = 7, c = 9
a = 7, b = 5, c = 14
a = 9, b = 5, c = 13
2*9*5=90
4*5*13=260