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Answers
Answer:
Question :-
An ancient coin made of pure gold weighs 11.58g. Find its volume when the density of gold is 19300 kg/m³.
Answer :-
Volume of gold coin is 0.6 cm³.
Explanation :-
Given :-
Weight of gold coin (Mass) = 11.58 g
Density of gold = 19300 kg/m³
To Find :-
Volume of gold coin?
Solution :-
❏ Converting units of density :-
We know that,
✪ \bf 1\:kg/m^3 = 0.001\:g/cm^31kg/m
3
=0.001g/cm
3
✪
Hence,
↦ \sf Density \:in \:g/cm^3 = 19300\:\times\:0.001Densitying/cm
3
=19300×0.001
↦ \sf Density \:in \:g/cm^3 = 19300\:\times\:\dfrac{1}{1000}Densitying/cm
3
=19300×
1000
1
↦ \sf Density \:in \:g/cm^3 = \dfrac{19300\:\times\:1}{1000}Densitying/cm
3
=
1000
19300×1
↦ \sf Density \:in \:g/cm^3 = \dfrac{193\cancel{00}}{10\cancel{00}}Densitying/cm
3
=
10
00
193
00
↦ \sf Density \:in \:g/cm^3 = {\cancel{\dfrac{193}{10}}}Densitying/cm
3
=
10
193
➦ \bf \red{Density\: in \:g/cm^3 = 19.3 \:g/cm^3}Densitying/cm
3
=19.3g/cm
3
∴ Density of gold is 19.3 g/cm³.
Now, we have mass of gold coin as well as density of gold. So, we can easily find volume of gold coin by using well known formula i.e, formula of volume.
We know that,
✪ \bf Volume = \dfrac{Mass}{Density}Volume=
Density
Mass
✪
Putting values in formula we get,
⇒ \sf Volume = {\cancel{\dfrac{11.58}{19.3}}}Volume=
19.3
11.58
➠ \bf \purple{Volume = 0.6\:cm^3}Volume=0.6cm
3
∴ Volume of gold coin is 0.6 cm³.
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