Answer:
V ≈ 714 in³
Step-by-step explanation:
The volume of a triangular prism can be found using the formula:
V = Bh, where B = the area of the base and h = the height of the prism. Since the base is a triangle, you will need to use the formula for area of a triangle: A = [tex]\frac{1}{2}[/tex]bh.
In this figure, the base of the triangle = 23.25 and the height of the triangle is 10.25. So, the area = ([tex]\frac{1}{2}[/tex])(23.35)(10.25) ≈ 119 in²
With the B = 119 and the height of the prism = 6:
V = 119(6) = 714 in³
