The edge of a cube was found to be 30 cm with a possibleerror in measurement of 0.1 cm. Use differentials toestimate the maximum possible error, relative error, andpercentage error in computing (a) the volume of the cubeand (b) the surface area 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 30 cm with a possible
error in measurement of 0.1 cm. Use differentials to
estimate the maximum possible error, relative error, and
percentage error in computing (a) the volume of the cube
and (b) the surface area of the cube.

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