First slide

Accuracy; precision of instruments and errors in measurements

Question

One side of a cube is measured as $a = 4.03 \pm 1 %$ what is its volume?

Moderate

A

$65.45 m^{3} \pm 3 %$
B

$65.05 m^{3} \pm 2 %$
C

$65 m^{3} \pm 3 %$
D

$65.5 m^{3} \pm 2 %$

Solution

$V o l u m e = a^{3} = {(4.03 m \pm 1 %)}^{3} = {4.03}^{3} m^{3} \pm (3 \times 1) % = 65.45 m^{3} \pm 3 %$

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