Question

if the error in the measurement of a side and mass of a cube are 3% and 4% respectively,what is the maximum permissible error in the density of a material

Answer 1

The density and mass ranges from the volume of a cube taken with right percent of error in measuring.

This is necessary for taking right one and maximum error in the measurement has been placed in the mass and length of a cube is 2% and 3% respectively.

Therefore, the final answer is 4% maximum percentage uncertainty.

Answer 2

Formula is delta of (density) = (delta of (mass) /mass} + { 3 × delta of (length)/ length) .

Substitute the values in the above equation. i.e l = 3%, m = 4%, 

=  delta of (density) × 100 = 4 % + 3 × (3%)

                                           = 4% + 9%

                                           = 13%

So, Maximum Error = 13%.

Hope this helps..
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