Question

# The density of a cube is measured by measuring its mass ad length of its side. If the maximum errors in the measurement of its mass and length are $$3\%$$ and $$2\%$$ respectively, the maximum error in the measurement of density would be:

A
12%
B
14%
C
7%
D
9%

Solution

## The correct option is D $$9\%$$Density   $$d = \dfrac{Mass}{Volume}$$Or   $$d = \dfrac{m}{a^3}$$Percentage error in density  %$$\ d =$$ %$$m +3\times$$ % $$a$$$$\implies$$ %$$d = 3+3\times 2 = 9$$ %Physics

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