Answer:
<h2>8 = 2x + 4</h2><h2>collect like terms</h2><h2>8 - 4 = 2x</h2><h2>4 = 2x</h2><h2>divide both sides by 2</h2><h2>4/2 = 2x/2</h2><h2>X = 2</h2>
I did this before the correct answer is.
Using the given equation of,
V = lwh
The volume of the given prism in the figure is,
V = (x² - x / 4x + 1) (2x - 5)(24x² + 6x / x - 1)
By factoring,
V = ((x)(x - 1) / (4x + 1))(2x - 5)((6x)(4x + 1) / (x - 1))
Eliminating terms appearing in both the denominator and numerator,
V = (x)(2x -5)(6x)
I graphed the 4 points and connected the dots. (Sorry I'm not able to show this)
I then realized it was some type of trapezoid however, I wasn't sure which kind of trapezoid (regular or isosceles) so I googled the properties of both and concluded that it makes a regular trapezoid.
Volume of a sphere = (4/3) pi r^3
required volume = (4/3) pi (6^3-5^3)
= (364/3) * pi cu ins.
