The volume of a triangular prism is equal to the half of the product between the height of the triangle, its base and, length of the prism:
[tex]V=\frac{1}{2}(b\cdot h\cdot l)[/tex]
For the given prism
The base of the triangle is b=6ft
The height of the triangle is h=8ft
And the length of the prism is l=4ft
So you can calculate its volume as:
[tex]\begin{gathered} V=\frac{1}{2}(6\cdot8\cdot4) \\ V=\frac{1}{2}\cdot192 \\ V=96ft^3 \end{gathered}[/tex]
The volume of the triangular prism is 96ft³
