Answer:
The height of the prism would be [tex]\dfrac{x^3-3x^2+5x-3}{x^2-2}[/tex]
Explanation:
A rectangular prism is a three dimensional shape having six rectangular shaped sides. It is also known as a cuboid.
Further Explanation:
Volume of the prism, V = [tex]\dfrac{x^3-3x^2+ 5x-3}[/tex]
While, Base area, B = [tex]x^2-2[/tex]
Since, for a rectangular prism,
Volume is,
[tex]V = B\times H[/tex]
Where,
By substituting the values,
[tex]x^3-3x^2 + 5x -3=(x^2-2)\times H[/tex]
Divide both sides by [tex](x^2-2)[/tex]
[tex]\dfrac{x^3-3x^2+5x-3}{x^2-2}=H[/tex]
Hence, the height of the rectangular prism would be [tex]\dfrac{x^3-3x^2+5x-3}{x^2-2}[/tex]
Learn More:
Dimension of prism https://brainly.com/question/12399919 ( answered by Calculsita )
Keywords:
3D figures, Volume, Prism, Rectangular prism, Base area.
The volume of rectangular prism is [tex]x^{3}-3x^{2} +5x-3[/tex] and the area of its base is [tex](x^{2} -2)[/tex]
So, the height of the prism would be [tex]\frac{x^{3}-3x^{2} +5x-3 }{x^{2} -2}[/tex]
A rectangular prism is a three dimensional shape having six rectangular shaped sides. It is also known as a cuboid.
Given:-
Volume of the prism, [tex]V=x^{3} -3x^{2} +5x-3[/tex]
Base area, [tex]x^{2} -2[/tex]
Since, for a rectangular prism,
Volume is,
[tex]V=B[/tex]×[tex]H[/tex]
Where,
By substituting the values,
[tex]x^{3} -3x^{2} +5x-3=(x^{2} -2)[/tex] ×[tex]H[/tex]
Divide both sides by [tex]x^{2} -2[/tex]
[tex]\frac{x^{3}-3x^{2} +5x-3 }{x^{2} -2}=H\\[/tex]
Hence, the height of the rectangular prism would be [tex]\frac{x^{3}-3x^{2} +5x-3 }{x^{2} -2}[/tex]
For more information:-
https://brainly.com/question/20717999
