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The volume of the geometry that is oblique prism is [tex]\rm 0.5x^3 + x^2[/tex]. Then the correct option is A.
It deals with the size of geometry, region, and density of the different forms both 2D and 3D.
Given
The oblique prism below has an isosceles right triangle base.
The triangular bases have 2 sides with a length of x.
The distance from the 2 triangular bases is (x + 3).
The vertical height of the prism is (x + 2).
The volume of the oblique prism will be
[tex]\rm Volume = Area\ of \ triangle * Vertical\ Height \\\\Volume = \dfrac{1}{2} (Base)^2 * Vertical \ Hetght\\\\Volume = \dfrac{1}{2} x^2 (x + 2)\\\\Volume = \dfrac{1}{2} x^3 + x^{2} \\\\[/tex]
The volume of the oblique prism is [tex]\rm 0.5x^3 + x^2[/tex].
Thus, option A is correct.
More about the geometry link is given below.
https://brainly.com/question/7558603