Question

What is the volume of the given prism? round the answer to the nearest tenth. please explain :(

Answer 1

The equation to finding the area of a triangular prism is 1/4*height
`√(x)`-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 2

Option C. 6872.8 yd³

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 =
`\sqrt{(16^(2)-8^(2))}= √(256-64)`

=
`√(192)`

=
`8√(3)` 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