Answer:
120
Step-by-step explanation:
The prism shown is a triangular prism
The volume of a triangular prism can be found by multiplying the area of the base ( which is a triangle ) by the length of the prism ( which is 10 feet )
First let's find the area of the base.
To find the area of a triangle we use this formula [tex]A=\frac{bh}{2}[/tex]
where b = base length and h = height
The base length is 6ft and the height is 4ft.
Using these dimensions we plug in the values into the formula
[tex]\frac{4*6}{2} \\4*6=24\\\frac{24}{2} =12[/tex]
So the area of the base is 12ft²
Finally to find the volume we multiply the area of the base by the length of the prism
12 * 10 = 120
Hence, the volume of the prism is 120ft³
