Answer :
Given:
length of the sides of the box = x
A diagram of the required box is shown below:
Since the box is made up of a square of side x, the algebraic model for the volume of the box is:
[tex]Volume\text{ = x}^3[/tex]When the side lengths of each square is 6cm, the volume is:
[tex]\begin{gathered} Volume\text{ = 6}^3 \\ =\text{ 216 cm}^3 \end{gathered}[/tex]Answer Summary:
[tex]\begin{gathered} Algebraic\text{ model} \\ Volume\text{ = x}^3 \\ When\text{ x =6} \\ Volume\text{ = 216 cm}^3 \end{gathered}[/tex]