$\"\"$

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(a)

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Side of a cube is $\"\"$ cm.

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Let $\"\"$ be the side of the cube.

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Error in measuring side of a cube is $\"\"$ cm.

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

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Apply derivative on each side.

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$\"\"$

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Substitute $\"\"$ and $\"\"$ in above expression.

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$\"\"$

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Maximum possible error in the volume of the cube is $\"\"$ .

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Relative error in the volume of the cube is $\"\"$ .

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$\"\"$

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Relative error in the volume of the cube is $\"\"$ .

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Percentage error in the volume of the cube is $\"\"$ .

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$\"\"$

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Percentage error in the volume of the cube is $\"\"$ .

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$\"\"$

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(b)

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Surface area of the square $\"\"$ .

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Apply derivative on each side.

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$\"\"$

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Substitute $\"\"$ and $\"\"$ in above expression.

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$\"\"$

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Maximum possible error in the Surface area of the cube is $\"\"$ .

\

Relative error in the volume of the cube is $\"\"$ .

\

$\"\"$

\

Relative error in the Surface area of the cube is $\"\"$ .

\

Percentage error in the Surface area of the cube is $\"\"$

\

$\"\"$

\

Percentage error in the Surface area of the cube is $\"\"$ .

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$\"\"$

\

(a)

\

Maximum possible error in the volume of the cube is $\"\"$ .

\

Relative error in the volume of the cube is $\"\"$ .

\

Percentage error in the volume of the cube is $\"\"$ .

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(b)

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Maximum possible error in the Surface area of the cube is $\"\"$ .

\

Relative error in the Surface area of the cube is $\"\"$

\

Percentage error in the Surface area of the cube is $\"\"$ .