Answer: [tex]V=588\ ft^3[/tex]
Step-by-step explanation:
You need to use the following formula to calculate the volume of Triangular prism:
[tex]V=ah[/tex]
Where "a" is the area of one triangular base and "h" is the height of the triangular prism.
Calculate "a" with this formula:
[tex]a=\frac{bH}{2}[/tex]
Where "b" is the base of the triangle and "H" is the height.
In this case:
[tex]b=14\ ft\\H=4\ ft[/tex]
Then, substituting values, you get that the area is the following:
[tex]a=\frac{(14\ ft)(4\ ft)}{2}\\\\a=28\ ft^2[/tex]
Finally, you must substitute values into the formula for calculate the volume of the triangular prism, and you also must substitute [tex]h=21\ ft[/tex], which is its height:
[tex]V=(28\ ft^2)(21\ ft)\\\\V=588\ ft^3[/tex]
