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:
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,
Textbook: College Physics
Author: Paul Peter Urone, Roger Hinrichs
College Physics was written by and is associated to the ISBN: 9781938168000. The answer to “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.” is broken down into a number of easy to follow steps, and 51 words. This full solution covers the following key subjects: answers, box, calculate, centimeters, correct. This expansive textbook survival guide covers 34 chapters, and 3125 solutions. This textbook survival guide was created for the textbook: College Physics , edition: 1. Since the solution to 25PE from 1 chapter was answered, more than 291 students have viewed the full step-by-step answer. The full step-by-step solution to problem: 25PE from chapter: 1 was answered by , our top Physics solution expert on 07/07/17, 04:39PM.