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The equation to finding the area of a triangular prism is 1/4*height[tex] \sqrt{x} [/tex]-a^4 + 2 * (a*b)^2 + 2(a*c) - b^4 + 2(b*c)^2 - c^4. (I know that's really confusing)

The A, B, and C values all stand for the base side lengths of the 2 triangles. The h is height. Plug in these values to the equation, and your answer is 3436.4 yards cubed. I hope this helped.

Answer:

Option C. 6872.8 yd³

Step-by-step explanation:

Since volume of the triangular prism = Area of square base × height of prism

Area of square base = length × width = 16×31 = 496 yd²

Height of the prism (By Pythagoras theorem) = Height of the isosceles triangle = [tex]\sqrt{(16^{2}-8^{2})}= \sqrt{256-64}[/tex]

= [tex]\sqrt{192}[/tex]

= [tex]8\sqrt{3}[/tex] yd

Now we put these values in the formula of volume

Volume = 496×8√3 = 496×(13.86) = 6872.8 yd³

Answer is option C. 6872.8 yd³

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