The edge of a cube was found to be  60cm with a possible error of 0.1 cm. Use differentials to estimate the maximum possible error in the calculated volume of the cube.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter9: Surfaces And Solids
Section9.1: Prisms, Area And Volume
Problem 34E: The numerical value of the volume of a cube equals the numerical value of its total surface area....
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The edge of a cube was found to be  60cm with a possible error of 0.1 cm. Use differentials to estimate the maximum possible error in the calculated volume of the cube.

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