The edge of a cube was found to be 11 cm with a possible error in measurement of 0.81 cm. Use differentials to estimate the maximum possible error in computing (a) the volume of the cube. (b) the surface area of the cube.

The edge of a cube was found to be 11 cm with a possible error in measurement of 0.81 cm. Use differentials to estimate the maximum possible error in computing (a) the volume of the cube. (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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Problem #2: The edge of a cube was found to be 11 cm with a possible error in measurement of 0.81 cm. Use differentials to
estimate the maximum possible error in computing
(a) the volume of the cube.
(b) the surface area of the cube.

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