The side of a cube is measured to be 21 cm, with a possible error of cm. A. Use differentials to estimate the error in the volume. B. Estimate the percentage error in the side of the cube and the volume of the cube.

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**Problem: Estimating Errors in Cube Measurements**

The side of a cube is measured to be 21 cm, with a possible error of \( \frac{1}{7} \) cm.

A. Use differentials to estimate the error in the volume.

B. Estimate the percentage error in the side of the cube and the volume of the cube.
Transcribed Image Text:**Problem: Estimating Errors in Cube Measurements** The side of a cube is measured to be 21 cm, with a possible error of \( \frac{1}{7} \) cm. A. Use differentials to estimate the error in the volume. B. Estimate the percentage error in the side of the cube and the volume of the cube.
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