Answer:
The amount of wax they will need equal the volume of the pyramid which is;
[tex]32\text{ }in^3[/tex]Explanation:
Given that the base edge of the square pyramid is 4 in and the height is 6 in;
[tex]\begin{gathered} \text{base edge a = 4 in} \\ \text{height h = 6 in} \end{gathered}[/tex]Recall that the formula for the volume of a pyramid is;
[tex]V=\frac{1}{3}a^2h[/tex]substituting the given values;
[tex]\begin{gathered} V=\frac{1}{3}\times4^2\times6 \\ V=\frac{1}{3}\times16^{}\times6 \\ V=32\text{ }in^3 \end{gathered}[/tex]Therefore, the amount of wax they will need equal the volume of the pyramid which is;
[tex]32\text{ }in^3[/tex]