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 if the cube.

Question

anonymous · Answer

for volume
v= x^3

dv/dx= 3x^2

dv= 3x^2 dx

dv=3(30)^2 (.1)

anonymous · Answer

relative error/percent

dv/v=  3(30)^2 (.1)
           ------------
                  30^3

for percent x100

anonymous · Answer

any question?

anonymous · Answer

the surface area of the cube was the derivative of the volume of the cube right?

anonymous · Answer

surface area of cube = 6x^2

anonymous · Answer

so then to find the surface area i would do 12xdx/6x^2?

anonymous · Answer

yes

anonymous · Answer

oh great i totally get it!