Answer :
Given:
The base length is 6 ft, the base height is 5 ft, and the prism height is 7 ft.
To find:
The volume of the triangular prism.
Solution:
Base of a triangular prism is a triangle with base length 6ft and height 5 ft.
Area of a triangle is
[tex]Area=\dfrac{1}{2}\times Base\times Height[/tex]
So, the area of the base is
[tex]B=\dfrac{1}{2}\times 6\times 5[/tex]
[tex]B=\dfrac{30}{2}[/tex]
[tex]B=15[/tex]
Now, the volume of a triangular prism is
[tex]V=Bh[/tex]
Where, B is the base area and h is the height of the prism.
Putting B=15 and h=7, we get
[tex]V=(15)(7)[/tex]
[tex]V=105[/tex]
Therefore, the volume of the triangular prism is 105 cubic ft.