The answer is 10 but just tell me why its ten and I will give brainliest

Answer:
10 inches
Step-by-step explanation:
[tex]\frac{192}{375}[/tex]=[tex]\frac{8}{x}^{3} }[/tex]
[tex]\frac{192}{375}[/tex]=([tex]\frac{512}{x^{3} }[/tex])
x^3=512*[tex]\frac{375}{192}[/tex]
x^3=1000
[tex]3\sqrt{x^{3} }[/tex]=[tex]3\sqrt{1000}[/tex]
x=10 in