errors involved in measurement of side and mass of cube are 3% and 4% respectively. what is the maximum error in the density of cube?

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To find the maximum error in the density of a cube, we need to calculate the relative errors in the side and mass measurements separately, and then add them up to get the combined or total relative error.

Relative error, also known as percentage error, is calculated by taking the absolute value of the difference between the measured value and the true value, divided by the true value, and then multiplying by 100.

Given that the error in side measurement is 3% and the error in mass measurement is 4%, let's calculate the relative errors:

1. Relative error in side measurement:
Since the error in side measurement is given as a percentage, the relative error is simply 3%.

2. Relative error in mass measurement:
Again, the error in mass measurement is given as a percentage, so the relative error is 4%.

To calculate the combined relative error, we need to add the individual relative errors:

Combined relative error = Relative error in side + Relative error in mass
= 3% + 4%
= 7%

Therefore, the maximum error in the density of the cube is 7%.

Note: This assumes that the errors in the side and mass measurements are independent and having a maximum error of 3% and 4% respectively.