Answer:
[tex]suface \: area \:of \: rectangular prism = 24400 \: in^{2} \\ is \: (56in \times n) + (56in \times n) + (86in \times n) + (86in \times n) + (56in \times 86in) + (56in \times 86in) = 24400^{2} \\ 2(56in \times n) + 2(86in \times n) + 2(56in \times 86in) = 24400 ^{2} \\ 2{(56in \times n) + (86in \times n) + (56in \times 86in)} = 24400^{2} \\ (56in \times n) + (86in \times n) + (56in \times 86in) = \frac{24400 {in}^{2} }{2} \\ n56in + n86in + 4816 {in}^{2} = {12200in}^{2} \\ n142in = 12200 {in}^{2} - 4816 {in}^{2} \\ n142in = 7384 {in}^{2} \\ n = \frac{7384 {in}^{2} }{142in} \\ n = 52in[/tex]
Step-by-step explanation:
56in×n is surface area of square seafoam green 2 sides is in front and back
86in × n is surface area of square dark green
2 sides is behind left and right
56in×86in is surface area of square mint green
2 sides is on and under
