The volume of the triangular prism = base area x height
Since its base is a right triangle, then
[tex]B\mathrm{}A=\frac{1}{2}\times leg_1\times leg_2[/tex]
From the figure leg1 = 6 ft and leg2 = 8 ft
[tex]\begin{gathered} BA=\frac{1}{2}\times6\times8 \\ BA=24ft^2 \end{gathered}[/tex]
Now multiply it by the height of the prism
Since its height = 12 ft, then
[tex]\begin{gathered} V=24\times12 \\ V=288ft^3 \end{gathered}[/tex]
The answer is A
