Question

Let planes defined by $\left|x\right|+\left|y\right|+\left|z\right|=1$Then volume of the solid enclosed by is

• A. $\frac{1}{3}$ cubic units
• B. $\frac{2}{3}$cubic units
• C. $1$cubic units
• D. $\frac{4}{3}$ cubic units

Answer 1

The correct option is A $\frac{1}{3}$ cubic units

Let, the planes defined by

$|x|+|y|+|z|=1$

Then the volume of the solid enclosed by

$volume=\frac{1}{1^2+1^2+1^2}=\frac{1}{3}$