TS EAMCET · Maths · Vector Algebra
The volume (in cubic units) of the tetrahedran bounded by the plane \(3 x+4 y-5 z=60\) and the three coordinate planes is
- A 60
- B 720
- C 600
- D 4800
Answer & Solution
Correct Answer
(C) 600
Step-by-step Solution
Detailed explanation
Vertices of the tetrahedron are \((0,0,0)\), \((20,0,0),(0,15,0)\) and \((0,0,12)\). So, its volume is \(\frac{1}{6}\left|\begin{array}{cccc}0 & 0 & 0 & 1 \\ 20 & 0 & 0 & 1 \\ 0 & 15 & 0 & 1 \\ 0 & 0 & 12 & 1\end{array}\right|=600\) cubic units
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