[tex]w = 12.8 \: ft[/tex]
[tex]l = 4 \: ft[/tex]
[tex]v = 711.68 \: {ft}^{3} [/tex]
The height of the given rectangular prism.
[tex]v = lbh[/tex]
[tex]12.8 \times 4 \times h = 711.68 \: {ft}^{3} [/tex]
[tex]51.2 \times h = 711.68 \: {ft}^{3} [/tex]
[tex]h = \frac{711.68}{51.2} [/tex]
[tex]h = 13.9 \: ft[/tex]
Therefore, the height of the given rectangular prism is 13.9 feets.