Given:
Given that the volume of the cube is 1433 in³
Also, given that the volume of the cube can be determined using the formula,
where V is the volume of the cube and s is the side length.
We need to determine the equation to solve for the side length of the cube.
Equation for the side length:
The equation for the side length can be determined using the formula,
Substituting the volume V = 1433 in³, we get;

Taking cube root on both sides of the equation, we get;
![\sqrt[3]{1433} \ in^3=s](https://img.qammunity.org/2021/formulas/mathematics/high-school/mw3cd437m270xuyokd0vahgrwxkpao69rw.png)
Thus, the equation to solve for the side length of the cube is
![s=\sqrt[3]{1433} \ in^3](https://img.qammunity.org/2021/formulas/mathematics/high-school/3tzzd3yyhaeke3zowf1utyl2gf78b7eusi.png)