Answer:
336
Step-by-step explanation:
The figure shown is a triangular prism
The volume of a triangular prism can be calculated by using this formula
[tex]V=ah[/tex]
where a = area of base and h = height
we are already given the height ( 8 ft ) so all we need to find is the area of the base
Because this is triangular prism the base will be a triangle
The area of a triangle can be calculated using this formula
[tex]A=\frac{bh}{2}[/tex] where b = base length and h = height
The base length of this particular triangular prism is 12 ft and the height of the base is 7 ft
That being said we plug in the values into the formula
[tex]A=\frac{12*7}{2} \\12*7=84\\\frac{84}{2} =42[/tex]
So we can conclude that the area of the base is 42 ft²
Now to find the volume
Using the formula V = ah
* plug in the values *
V = 42 * 8
42 * 8 = 336
Therefore the volume of the triangular prism is 336ft³
