The given figure is a square-based pyramid.
The volume of this pyramid is given by the formula:
![V=(s^2*h)/(3)](https://img.qammunity.org/2023/formulas/mathematics/college/js8zdfyjslt5cogf9lwa5ng56mmcznglw4.png)
Where s is the length of the side of the base, and h is the height of the pyramid.
In this figure, s=4 cm and h=6 cm. By replacing these values we obtain:
![\begin{gathered} V=((4cm)^2*6cm)/(3) \\ V=(16cm^2*6cm)/(3) \\ V=(96cm^3)/(3) \\ V=32cm^3 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/oslp3opoyayyhjhpgum6h7qiysum6hkf7q.png)
The answer is V=32 cm^3