Question

The volume of tetrahedron included between the plane $3x+4y–5z–60=0$ and co-ordinate planes is

• A. $600\text{cubic unit}$
• B. $2400\text{cubic unit}$
• C. $1200\text{cubic unit}$
• D. $3600\text{cubic unit}$

Answer 1

The correct option is A $600\text{cubic unit}$


The plane intersects the axes $A,B,C$ respectively
$3x+4y–5z=60$
$\frac{x}{20}+\frac{y}{15}-\frac{z}{12}=0$
Volume of tetrahedron $=\frac{1}{6}\left[\overrightarrow{a}\overrightarrow{b}\overrightarrow{c}\right]=600$