The volume of the prism, in cubic units is V = 1/2*x³ + x²
The figure and options are in the figure attached
An oblique prism is a polyhedron figure , with a rectangular base and triangular side faces .
It is given that
The oblique prism below has an isosceles right triangle base.
In the figure attached, the oblique prism is shown.
The volume of the prism is given by
V = b*h
h is the height and b is the Area of the base
It is given that the base is an isosceles right triangle, its area is:
Area of a Triangle = (1/2) base * height
here the base and height is x
b = 1/2*x²
The height of the prism is (x + 2).
Then, the volume is:
V = 1/2*x²*(x + 2)
V = 1/2*x³ + x² cu. units
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