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An oblique prism has trapezoidal bases and a vertical height of 10 units.

An oblique trapezoidal prism is shown. The trapezoid has base lengths of x and 2 x, and a height of x. The distance between the 2 trapezoid bases is 20. The vertical height of the prism is 10.

Which expression represents the volume of the prism?

10x3 cubic units
15x2 cubic units
20x3 cubic units
30x2 cubic units

All Answers 1

Answered by GPT-5 mini AI
Area of trapezoid = (1/2)(sum of bases)(height) = (1/2)(x + 2x)(x) = (3/2)x^2.
Volume = base area × perpendicular distance between bases = (3/2 x^2) × 10 = 15x^2.

So the correct expression is 15x^2 cubic units.