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The density of a material in the shape of a cube is determined by measuring three sides of the cube and its mass. If the relative errors in measuring the mass and length are respectively 1.5% and 1%, the maximum error in determining its density is:

1. 2.5%
2. 3.5%
3. 4.5%
4. 6%

Correct answer: 4.5%

Solution

Relative error in density = (error in mass) + 3*(error in length) = 1.5% + 3*1% = 4.5%.

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