Question

The volume of a rectangular prism is (x3 – 3x2 + 5x – 3), and the area of its base is (x2 – 2). If the volume of a rectangular prism is the product of its base area and height, what is the height of the prism?
x minus 3 + StartFraction 7 x minus 9 Over x squared minus 2 EndFraction
x minus 3 + StartFraction 7 x minus 9 Over x cubed minus 3 x squared + 5 x minus 3 EndFraction
x minus 3 + StartFraction 7 x + 3 Over x squared minus 2 EndFraction
x minus 3 + StartFraction 7 x + 3 Over x cubed minus 3 x squared + 5 x minus 3 EndFraction

Answer 1

Answer:

A. x - 3 + 7x - 9/x^2 - 2

did test on edge, got 100%

Answer 2

The volume of a rectangular prism is (x^3 – 3x^2 + 5x – 3) and the area of its base is (x^2 – 2)

So, the height of the prism would be $\frac{ (x^3 - 3x^2 + 5x - 3)}{ (x^2 - 2)}$

A rectangular prism is a three-dimensional shape having six rectangular-shaped sides. It is also known as a cuboid.

We have given that,

       The Volume of the prism, $(x^3 - 3x^2 + 5x -3)$

       Base area, $x^2-2$

Since, for a rectangular prism,

Volume is,

        $V=B\times H$

V = Volume of prism

H = Height of the prism

B = Base area of a prism  

     

By substituting the values,

$(x^3 - 3x^2 + 5x -3)=(x^2-2)\times H$

   

Divide both sides by

$\frac{(x^3 - 3x^2 + 5x -3)}{x^2-2} =H$

     

Therefore, the height of the rectangular prism would be $\frac{(x^3 - 3x^2 + 5x -3)}{x^2-2}$

To learn more about the rectangular prism visit:

https://brainly.com/question/1310421

#SPJ2