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

Find the following:

-maximum possible error (cm^3)

-relative error

-percentage error (%)

b) surface area of the cube

Find the following:

-maximum possible error (cm^2)

-relative error

-percentage error (%)