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$\rho(x,y,z)=xyz$ represents a variable density function where the density at any point $(x,y,z)$ inside the solid depends on all three Cartesian coordinates. It is used to set up a mass calculation for a non-uniform object.

Conditions: The object has non-uniform density.; The density is modeled as a function of position $(x,y,z)$.; This specific formula is the speaker's simplified example.

$\rho(x,y,z)=xyz$ represents a variable density function where the density at any point $(x,y,z)$ inside the solid depends on all three Cartesian coordinates. It is used to set up a mass calculation for a non-uniform object.

Conditions: The object has non-uniform density.; The density is modeled as a function of position $(x,y,z)$.; This specific formula is the speaker's simplified example.