Question

what is the percentage error in the density of a cube when error is measuring its mass and length are +-2% and +-1% respectively.​

Answer 1

Answer:

+- 5%

Explanation:

In case of division/multiplication:

Percentage uncertainties are added

In case of power factor:

The percentage uncertainty is multiplied by that power

Steps:

• Density

$density = \frac{mass}{volume}$

• Total percentage uncertainty in

Volume = l^3

$1 \% \times 3 = 3\%$

• Since mass and volume are being divided their percentage uncertainties are added
• $3\% + 2\% = 5\%$