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Question: The mass of a box measured by a grocer’s balance is 2.3 kg. Two gold pieces of masses 20.15 g and 20...

The mass of a box measured by a grocer’s balance is 2.3 kg. Two gold pieces of masses 20.15 g and 20.17 g are added to the box. The total mass of the box is

A

2.3 kg

B

2.34 kg

C

2.340 kg

D

2.3403

Answer

2.3 kg

Explanation

Solution

Here, mass of the box, m = 2.3 kg

Mass of one gold piece , m1=20.15 g=0.02015 kg\mathrm { m } _ { 1 } = 20.15 \mathrm {~g} = 0.02015 \mathrm {~kg}

Mass of other gold piece, m2=20.17 g=0.02017 kg\mathrm { m } _ { 2 } = 20.17 \mathrm {~g} = 0.02017 \mathrm {~kg} ∴\thereforeTotal mass =m+m1+m2= \mathrm { m } + \mathrm { m } _ { 1 } + \mathrm { m } _ { 2 }

=2.3 kg+0.02015 kg+0.02017 kg= 2.3 \mathrm {~kg} + 0.02015 \mathrm {~kg} + 0.02017 \mathrm {~kg}

=2.34032 kg= 2.34032 \mathrm {~kg}

As the result is correct only upto one place of decimal, therefore on rounding off, we get

Total mass =2.3 kg= 2.3 \mathrm {~kg}