Answer:
[tex]x=\sqrt[3]{\frac{500}{27}}[/tex]≈ [tex]2.64566842[/tex]
Step-by-step explanation:
[tex]\frac{27x^{3}}{4}=125\\27x^{3}=125*4\\27x^{3}=500\\x^{3}=\frac{500}{27}\\x=\sqrt[3]{\frac{500}{27}}[/tex]
An approximation in decimal form would be as follows:
[tex]x=\sqrt[3]{\frac{500}{27}}[/tex]≈ [tex]2.64566842[/tex]