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Physics / College Physics 1 / Chapter 1 / Problem 25

College Physics | 1st Edition | ISBN: 9781938168000 | Authors: Paul Peter Urone, Roger Hinrichs

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Problem 25PE

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.

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QUESTION:

Problem 25PE

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.

ANSWER:

Solution to 25PE

Step 1 of 3

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:

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