Respuesta :

The given figure is a square-based pyramid.

The volume of this pyramid is given by the formula:

[tex]V=\frac{s^2*h}{3}[/tex]

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:

[tex]\begin{gathered} V=\frac{(4cm)^2*6cm}{3} \\ V=\frac{16cm^2*6cm}{3} \\ V=\frac{96cm^3}{3} \\ V=32cm^3 \end{gathered}[/tex]

The answer is V=32 cm^3