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Most Important Selected Qs for JEE AdvancedMathematicsThree Dimensional Geometry

Paragraph The base of a pyramid is rectangular, three of its vertices of the base are A (2,2,-1), B (3,1,2) and C (1,1,1) (may or may not be in order). Its vertex at the top is P (4,- 26 3 ,- 10 3 ) and fourth vertex of the base is D. On the basis of above information, answer the following : Question Volume of the pyramid is -

Options

  1. A20 cubic units
  2. B10 cubic units
  3. C40 cubic units
  4. D30 cubic units

Correct answer

A. 20 cubic units

Step-by-step solution

Volume of the pyramid = 1 3 ( Base area ) Height = 1 3 | AB AC | EP = 1 3 | i -5 j -2 k | 120 = 1 3 30 120 =20 cubic units

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