Respuesta :

The volume of any solid is the product of the base area and the height

[tex]V=b\mathrm{}A\times h[/tex]

Let us find the area of the base of the given figure and multiply it by the height

The base is a right triangle of legs 9 mm and 26 mm, then its area is

[tex]\begin{gathered} b\mathrm{}A=\frac{1}{2}\times9\times26 \\ b\mathrm{}A=177mm^2 \end{gathered}[/tex]

The height of the solid is 24 mm, then

[tex]\begin{gathered} V=177\times24 \\ V=2808mm^3 \end{gathered}[/tex]

The volume of the figure is 2808 cubic mm

Answer C