Answer:
The amount of wax they will need equal the volume of the pyramid which is;
![32\text{ }in^3](https://img.qammunity.org/2023/formulas/mathematics/college/y34shbtfz9uqsw10xfyn1qtugv15z8kkg4.png)
Step-by-step explanation:
Given that the base edge of the square pyramid is 4 in and the height is 6 in;
![\begin{gathered} \text{base edge a = 4 in} \\ \text{height h = 6 in} \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/q5quxzb2zp39tv93aw9272oox9jhv5s6ny.png)
Recall that the formula for the volume of a pyramid is;
![V=(1)/(3)a^2h](https://img.qammunity.org/2023/formulas/mathematics/college/gbm3ovdgq35kgynx3enkm29x11e8mi85iy.png)
substituting the given values;
![\begin{gathered} V=(1)/(3)*4^2*6 \\ V=(1)/(3)*16^{}*6 \\ V=32\text{ }in^3 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/pnpurye5l35m267eagqymd59j6qjhfnjq2.png)
Therefore, the amount of wax they will need equal the volume of the pyramid which is;
![32\text{ }in^3](https://img.qammunity.org/2023/formulas/mathematics/college/y34shbtfz9uqsw10xfyn1qtugv15z8kkg4.png)