Answer:
Option C. [tex]42\ yd^{3}[/tex]
Step-by-step explanation:
we know that
The volume of the triangular prism is equal to
[tex]V=BH[/tex]
where
B is the area of the triangular base
H is the height of the prism
Convert 9 ft to yd
Remember that
1 ft=1/3 yd
9 ft=9*(1/3)=3 yd
Find the area of the base B
[tex]B=\frac{1}{2}(3)(4)=6\ yd^{2}[/tex]
we have
[tex]H=7\ yd[/tex]
substitute the values in the formula
[tex]V=BH[/tex]
[tex]V=(6)(7)=42\ yd^{3}[/tex]
