Respuesta :

Answer:

[tex]V=48cm^3[/tex]

Step-by-step explanation:

The volume of a prism is represented by the area of the base multiplied by the height, therefore the equation is given as:

[tex]\begin{gathered} V=(\frac{1}{2}\cdot b\cdot h)\cdot\text{ length} \\ \text{where,} \\ b=3 \\ h=4 \\ l=8 \end{gathered}[/tex]

Therefore, the volume of the given triangular prism:

[tex]\begin{gathered} V=(\frac{1}{2}\cdot3\cdot4)\cdot8 \\ V=6\cdot8 \\ V=48cm^3 \end{gathered}[/tex]