Recall the volume of the cube is determined by the formula
[tex]\begin{gathered} V_{\text{cube}}=s^3 \\ \text{where} \\ s\text{ is the length of the side of the cube} \end{gathered}[/tex]
Given that the side of the cube is 8.1 cm, then the volume is
[tex]\begin{gathered} V=s^3 \\ V=(8.1\text{ cm})^3 \\ V=531.441\text{ cm}^3 \end{gathered}[/tex]
Rounding the answer to the nearest tenth, the volume of the cube is 531.4 cubic centimeter.
