Express your answers to problems in this section to the correct number of significant figures and proper units.

The sides of a small rectangular box are measured to be 1.80 ± 0.01 cm , 2.05 ± 0.02 cm, and 3.1 ± 0.1 cm long. Calculate its volume and uncertainty in cubic centimeters.

Solution to 25PE

Step 1 of 3</p>

We need to find the volume of the box and its uncertainty in volume for a box with the following dimensions.

To calculate the volume and uncertainty we have to calculate the percentage error in the measured values of the dimensions.

Percentage error for length:

We know,

is the original measurement is the original measurement

is the uncertainty in measurement.

Percentage error for breadth:

Percentage error in height:

Step 2 of 3</p>

Volume of the rectangular box:

Total uncertainty is given by,