ANSWER:
2160 cm^3
STEP-BY-STEP EXPLANATION:
To calculate the volume of the figure, we must divide it in two, the upper part would be a triangular prism and the lower part a quadrangular prism.
The volume of a prism in both cases is the area of the base of the figure multiplied by the length, therefore:
[tex]\begin{gathered} V_{\text{tri}}=A_b\cdot l=\frac{b\cdot h}{2}\cdot l=\frac{12\cdot(12-8)}{2}\cdot18=432cm^3 \\ \\ V_{\text{qua}}=A_b\cdot l=b\cdot h\cdot l=12\cdot8\cdot18=1728cm^3 \\ \\ V_T=V_{\text{tri}}+V_{\text{qua}}=432+1728=2160cm^3 \end{gathered}[/tex]
The volume of the figure is 2160 cm^3
A cross section is a 2-dimensional "cut" in a 3-dimensional figure. Therefore, if it is vertical, the figure would be the base of the figure and if it is a horizontal cut, it would be a square.
