Measurement

The density of a material in the shape of a cube is determined by measuring three sides of the cube and its mass. If the relative errors in measuring the mass and length are respectively 1.5% and 1%, the maximum error in determining the density is:

  1. 3.5%
  2. 4.5%
  3. 6%
  4. 2.5%

Answer

Density = Mass / Volume

1 Δd/d = 1 ΔM/M + 3 ΔL/L

= 1.5 + 3×1

= 4.5% 

The correct option is B.