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lana66690 [7]
2 years ago
6

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 pri

sm 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.
Mathematics
1 answer:
34kurt2 years ago
5 0

To solve the problem we will put the values given to us in the formula of volume of a prism.

<h2>Prism</h2>

A prism is a 3d shape whose two sides are the base sides which are polygon, with the other faces as parallelograms.

The height of the prism is \dfrac{(x^3-3x^2+5x-3)}{(x^2-2)}.

<h2>Explanation</h2>

Given to us

  • volume of a rectangular prism = (x3 – 3x2 5x – 3),
  • area of its base = (x2 – 2)
  • the volume of a rectangular prism is the product of its base area and height,

As given  to us,

\rm{ Volume\ of\ prism = Area\ of\ base \times Height

\rm{ Height=\dfrac{Volume\ of\ prism}{Area\ of\ base}

Substituting the values we get,

\rm{ Height=\dfrac{(x^3-3x^2+5x-3)}{(x^2-2)}

Hence, the height of the prism is \dfrac{(x^3-3x^2+5x-3)}{(x^2-2)}.

Learn more about Volume of Prism:

brainly.com/question/1578538

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