Imagine an experiment where you measure the width, length and height of a box, in centimeters. Additionally, you estimate an uncertainty (error) in each measurement. The goal is to calculate the box's volume and the propagated error in the volume. Suppose you measure the box's width, W = 13 cm, length, L = 29 cm and height, H = 9 cm. These values have errors (in centimeters) of ow = 0.2, o = 0.1 and oH= 0.1. Calculate the propagated error in the volume. Enter a whole number (an integer) of cubic centimeters.

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter1: Introduction And Vectors
Section: Chapter Questions
Problem 7OQ: One student uses a meterstick to measure the thickness of a textbook and obtains 4.3 cm 0.1 cm....
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Imagine an experiment where you measure the width, length and height of a box, in centimeters.
Additionally, you estimate an uncertainty (error) in each measurement. The goal is to calculate the
box's volume and the propagated error in the volume.
Suppose you measure the box's width, W = 13 cm, length, L = 29 cm and height, H = 9 cm.
These values have errors (in centimeters) of ow = 0.2, o̟ = 0.1 and oH = 0.1.
Calculate the propagated error in the volume. Enter a whole number (an integer) of cubic
centimeters.
Transcribed Image Text:Imagine an experiment where you measure the width, length and height of a box, in centimeters. Additionally, you estimate an uncertainty (error) in each measurement. The goal is to calculate the box's volume and the propagated error in the volume. Suppose you measure the box's width, W = 13 cm, length, L = 29 cm and height, H = 9 cm. These values have errors (in centimeters) of ow = 0.2, o̟ = 0.1 and oH = 0.1. Calculate the propagated error in the volume. Enter a whole number (an integer) of cubic centimeters.
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