The edge of a cube was found to be 30 cm with a possible error in measurement of 0.4 cm. Use differentials to estimate the naximum possible error, relative error, and percentage error in computing the volume of the cube and the surface area of the cube. (Round your answers to four decimal places.) (a) the volume of the cube maximum possible error relative error percentage error (b) the surface area of the cube maximum possible error relative error percentage error cm³ % cm2 %

Mathematics For Machine Technology
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Chapter61: Areas Of Circles, Sectors, And Segments
Section: Chapter Questions
Problem 24A: A piece shown by the shaded portion is to be cut from a square plate 128 millimeters on a side. a....
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The edge of a cube was found to be 30 cm with a possible error in measurement of 0.4 cm. Use differentials to estimate the
maximum possible error, relative error, and percentage error in computing the volume of the cube and the surface area of the
cube. (Round your answers to four decimal places.)
(a) the volume of the cube
maximum possible error
relative error
percentage error
(b) the surface area of the cube
maximum possible error
relative error
percentage error
cm3
%
cm²
%
Transcribed Image Text:The edge of a cube was found to be 30 cm with a possible error in measurement of 0.4 cm. Use differentials to estimate the maximum possible error, relative error, and percentage error in computing the volume of the cube and the surface area of the cube. (Round your answers to four decimal places.) (a) the volume of the cube maximum possible error relative error percentage error (b) the surface area of the cube maximum possible error relative error percentage error cm3 % cm² %
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