A shape that covers an area A and has a uniform heighth has a volume V = Ah. (a) Show that V = Ah is dimensionallycorrect. (b) Show that the volumes of a cylinder and of arectangular box can be written in the form V = Ah, identifyingA in each case. (Note that A, sometimes called the “footprint”of the object, can have any shape and that the height can, ingeneral, be replaced by the average thickness of the object.)

A shape that covers an area A and has a uniform heighth has a volume V = Ah. (a) Show that V = Ah is dimensionallycorrect. (b) Show that the volumes of a cylinder and of arectangular box can be written in the form V = Ah, identifyingA in each case. (Note that A, sometimes called the “footprint”of the object, can have any shape and that the height can, ingeneral, be replaced by the average thickness of the object.)

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter1: Units And Measurement

Section: Chapter Questions

Problem 51P: Consider the physical quantities s,v,a, and t with dimensions [s]=L,[v]=LT1,[a]=LT2 and [t]=L ....

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