$\"\"$

\

(a)

\

The edge of a cube is $\"\"$ inches.

\

The possible error is $\"\"$ .

\

Volume of the cube : $\"\"$ .

\

$\"\"$

\

Differentiate with respect to $\"\"$ .

\

$\"\"$

\

$\"\"$

\

Substitute $\"\"$ and $\"\"$ in the above equation.

\

$\"\"$

\

The maximum possible propagated error in computing the volume of the cube is $\"\"$ .

\

$\"\"$

\

(b)

\

Surface area of the cube : $\"\"$ .

\

$\"\"$

\

Differentiate with respect to $\"\"$ .

\

$\"\"$

\

Substitute $\"\"$ and $\"\"$ in the above equation.

\

$\"\"$

\

The maximum possible propagated error in computing thesurface area cube is $\"\"$ .

\

$\"\"$

\

(a) The maximum possible propagated error in computing the volume of the cube is $\"\"$ .

\

(b) The maximum possible propagated error in computing thesurface area cube is $\"\"$ .