<s>[INST] The space diagonal of a rectangular prism is in the ratio. Given the value of the three dimensions as L=30, B, and H(in feet) and Common Ratio between their sides (r) is 3:4:5 respectively as represented by L:B:H = 3x:4x:5x, find the value of the length of the space diagonal provided that the space diagonal lies on the hypotenuse surface where x = 2.[/INST]