Respuesta :

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, [tex]V=s^3[/tex] 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,

[tex]V=s^3[/tex]

Substituting the volume V = 1433 in³, we get;

[tex]1433 \ in^3=s^3[/tex]

Taking cube root on both sides of the equation, we get;

[tex]\sqrt[3]{1433} \ in^3=s[/tex]

Thus, the equation to solve for the side length of the cube is [tex]s=\sqrt[3]{1433} \ in^3[/tex]

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