Question

14 The length of each side of a cube measured with verier callipers is 30mm.If the venier callipers can be read with an uncertainty of $\pm 0.14$mm, what does this give for approximate uncertainty in the value of its volume?

1%

0.005%

0.02%

0.01%

Answer 1

Answer on question #54423, Physics / Computational Physics

Question The length of each side of a cube measured with verier callipers is 30mm.If the venier callipers can be read with an uncertainty of $\pm 0.14$mm, what does this give for approximate uncertainty in the value of its volume?

Solution Uncertainty in measuring one side is

$\frac{0.14}{30}\approx 0.00467$

To find volume, you have to multiply side three times. When multiplying, relative uncertainty can be just added. Hence,

3 * 0.00467 ≈ 0.014

Is relative uncertainty in volume. Answer is 1%.