An oblique prism has trapezoidal bases and a vertical height of 10 units. which expression represents the volume of the prism? 10x3 cubic units 15x2 cubic units 20x3 cubic units 30x2 cubic units

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this question is based on concept of volume of solid figures.

volume of oblique prism is given by =base area height

since an oblique prism has trapezoidal bases.

so, area of trapezoid =

since height of trapezoid, h=x , a=x and b=2x

therefore,

area =

area =

given that the vertical height of the prism is 10 units.

so, the volume of prism = base area height

= cubic units.

therefore, option 2 is the correct answer.

step-by-step explanation:

x^2 -12x + 36 + y^2 = 36

x^2 + y^2 = 12x

r^2 = 12rcos(theta)

r = 12 cos(theta)