You measure the dimensions of a rectangular block of aluminum to determine its v

Question

You measure the dimensions of a rectangular block of aluminum to determine its volume. It has the following dimensions length 10.52 crn; width-4.82 cm; height-1.58 cm Assuming that each of these measurements is accurate to the nearest 0.01 cm, find the volume of the block and the fractional error on lts volume due to measurement errors. (Calculate your answers using the propagation of errors described in Appendix C.) AY- Additional Materials 2 Appendix C: Propagation of Errors Home My Assignments Extension Request WebAssg 4 0 © 1007-2010 Advaned hahational System, he A.Vinserved MacBook Air

Explanation / Answer

let,

length, l=10.52cm ,

width, b=4.82cm ,

height, h=1.58cm

accuracy=0.01cm

use,

a)

volume, V=l*b*h

V=(10.52*4.82*1.58) cm^3

V=80.12 cm^3

b)

fractional error,

dV/v=sqrt((dl/l)^2 + (db/b)^2 + (dh/h)^2)

=sqrt((0.01/10.52)^2 + (0.01/4.82)^2 + (0.01/1.58)^2)

=0.00673

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