Problem involving Volume and Surface Area of a Quadrilateral Prism

Problem involving Volume and Surface Area of a Quadrilateral Prism

TGM Original

The figure below shows a prism with a trapezoidal cross section. It is given that \(DC=11\) cm, \(EF=3\) cm, \(CH=8\) cm and the perpendicular height of trapezium \(ABCD\) is \(4\) cm.

Find

  1. the area of trapezium \(ABCD\).
  2. the volume of the prism.

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Answer:(a) \(28\text{ cm}^2\) (b) \(224\text{ cm}^3\)

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