1. Tardigrade
  2. Question
  3. Physics
  4. The length l, breadth b, and thickness t of a block of wood were measured with the help of a measuring scale. The results with permissible errors (in cm ) are l=15.12 ± 0.01, b=10.15 ± 0.01, and t=5.28 ± 0.01 The percentage error in volume up to proper significant figures is

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Q. The length $l$, breadth $b$, and thickness $t$ of a block of wood were measured with the help of a measuring scale. The results with permissible errors (in $cm$ ) are $l=15.12 \pm 0.01, b=10.15 \pm 0.01$, and $t=5.28 \pm 0.01$ The percentage error in volume up to proper significant figures is

Physical World, Units and Measurements

Solution:

Percentage error in volume is
$\frac{0.01}{15.12} \times 100+\frac{0.01}{10.15} \times 100+\frac{0.01}{5.28} \times 100=0.35 \%$