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Percentage error in density from errors in mass and the dimensions of the body

This type of question, asked 7 times: 20 Apr 2025 S2, 25 Apr 2025 S1, 26 Apr 2025 S1, 15 Apr 2026 S2, 16 Apr 2026 S1, 16 Apr 2026 S2, 19 May 2026 S2. All 7 questions below, oldest first.

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  1. Question 1

    20 Apr 2025 S2

    4
    The density of a cube is measured by measuring its mass and length of its sides. The % error in the measurement of mass and length are 5%5\% and 6%6\% respectively. The percentage error in the measurement of density is

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  2. Question 2

    25 Apr 2025 S1

    6
    A wire has a mass 0.3±0.0030.3 \pm 0.003 gram, radius 0.5±0.005 mm0.5 \pm 0.005\text{ mm} and length 6±0.06 cm6 \pm 0.06\text{ cm}. The maximum percentage error in the measurement of its density is

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  3. Question 3

    26 Apr 2025 S1

    39
    The error in the measurement of length and mass is 3%3\% and 4%4\% respectively. The error in the measurement of density will be

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  4. Question 4

    15 Apr 2026 S2

    102
    A wire has mass (0.3±0.003)(0.3 \pm 0.003) gram, radius (0.5±0.005)(0.5 \pm 0.005) mm and length (6±0.06)(6 \pm 0.06) cm. The maximum error in the measurement of density is

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  5. Question 5

    16 Apr 2026 S1

    101
    A wire has mass (0.3±0.003)(0.3 \pm 0.003) gram, radius (0.5±0.005)(0.5 \pm 0.005) cm and length (6±0.06)(6 \pm 0.06) cm. The maximum percentage error in the measurement of density is

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  6. Question 6

    16 Apr 2026 S2

    101
    The error in the measurement of length and mass of a cube is 3% and 4% respectively. The error in the measurement of its density will be

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  7. Question 7

    19 May 2026 S2

    102
    A wire has mass (0.4±0.002)(0.4 \pm 0.002) g, radius (0.6±0.006)(0.6 \pm 0.006) mm and length (8±0.04)(8 \pm 0.04) cm. The percentage error in the measurement of its density is

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