Sovereign Gold

gold fo all occasions puzzle?

Which is worth more, a bucket full of half a sovereign gold pieces or an identical bucket full of 1 sovereign gold pieces?
the ans given is bucket full of half a sovereign gold pieces...
hw come its possible pls explain in detail

The weight is all that matters. Let's suppose the two types of coins are equal in purity, and that the half sovereign is just a smaller circular cylinder than the sovereign.

You can pack half sovereigns more closely than you can pack sovereigns. That is, there will be less space between coins, since the coins are smaller. [Rigorously proving this statement is probably extremely hard, and I imagine there can be strange bucket shapes such that the full sovereign is the one you want, but in reality the half sovereigns would pack more closely.] As motivation, try tiling a rectangle with circles of a given radius, and then try again with circles of a smaller radius. You'll find you can fit more area in using the smaller circles, since they "mesh" better with the edges.

In any case, a tighter packing means a higher density of gold, so the bucket full of half sovereigns wins.

Find Popular Sovereign Gold At eBay Below:

1879 M Australia 1 Sovereign Gold Coin NGC XF 45 St George
1879 M Australia 1 Sovereign Gold Coin NGC XF 45 St George
$525.00
Great Britain 1857 Gold Shield Sovereign Victoria Circulated
Great Britain 1857 Gold Shield Sovereign Victoria Circulated
$449.99
Sovereign Gold Set 1842 1889M 1894 1902S 1918S 1980  PRICE REDUCED
Sovereign Gold Set 1842 1889M 1894 1902S 1918S 1980 PRICE REDUCED
$2,450.00
Great BritainKM 7361Sovereign1856  GOLD  YH  Shield Back  EF AU
Great BritainKM 7361Sovereign1856 GOLD YH Shield Back EF AU
$621.00
Full Gold Sovereign Coin
Full Gold Sovereign Coin
$313.00
1983 22K GOLD COIN UNITED KINGDOM PROOF SOVEREIGN ROYAL MINT RARE 80 GR
1983 22K GOLD COIN UNITED KINGDOM PROOF SOVEREIGN ROYAL MINT RARE 80 GR
$530.00
Gold Britania Sovereign Proof Set Box 1988
Gold Britania Sovereign Proof Set Box 1988
$9.99
1913 S GOLD AUSTRALIA SOVEREIGN KING GEORGE V COIN UNC CONDITION SYDNEY MINT
1913 S GOLD AUSTRALIA SOVEREIGN KING GEORGE V COIN UNC CONDITION SYDNEY MINT
$395.00
1856 British Half Sovereign Gold coin Victoria bust AGW 1177 ounce
1856 British Half Sovereign Gold coin Victoria bust AGW 1177 ounce
$156.00
G BRITAIN GV 1913 GOLD COIN SOVEREIGN  NGC CERTIFIED GENUINE AU 58  SUPERB
G BRITAIN GV 1913 GOLD COIN SOVEREIGN NGC CERTIFIED GENUINE AU 58 SUPERB
$464.95
1887 Queen Victoria Gold Full Sovereign Coin  Britain
1887 Queen Victoria Gold Full Sovereign Coin Britain
$312.00
2000 Great Britain NGC MS67 1 2 Sovereign Gold Coin 01169 Troy Oz No Reserve
2000 Great Britain NGC MS67 1 2 Sovereign Gold Coin 01169 Troy Oz No Reserve
$177.72
Gold Coin Ring 1911 Great Britain King St George V Half Sovereign London 63
Gold Coin Ring 1911 Great Britain King St George V Half Sovereign London 63
$890.00
1872 Great Britain Sovereign 1SOV NGC AU58
1872 Great Britain Sovereign 1SOV NGC AU58
$305.00
Australia 1880 M StGeorge Gold Sovereign NGC MS61 KM 7 2354oz Gold
Australia 1880 M StGeorge Gold Sovereign NGC MS61 KM 7 2354oz Gold
$288.00
British Sovereign King Edward VII Gold Coinage
British Sovereign King Edward VII Gold Coinage
$375.00
GULF WAR GOLD SOVEREIGN 2 Medals Royal Mint BEHIND ENEMY LINES Set
GULF WAR GOLD SOVEREIGN 2 Medals Royal Mint BEHIND ENEMY LINES Set
$359.99
1910 NGC AU58 GREAT BRITAIN GOLD SOVEREIGN
1910 NGC AU58 GREAT BRITAIN GOLD SOVEREIGN
$335.55
1985 NGC PF67 CAMEO GREAT BRITAIN GOLD SOVEREIGN PROOF
1985 NGC PF67 CAMEO GREAT BRITAIN GOLD SOVEREIGN PROOF
$336.00
1914 Georgivs V D Great Britain OMN REX FDINDIMP 1 2 SOVEREIGN GOLD COIN 11
1914 Georgivs V D Great Britain OMN REX FDINDIMP 1 2 SOVEREIGN GOLD COIN 11
$147.50
1927 Georgivs V D Great Britain OMN REX FDINDIMP FULL SOVEREIGN GOLD COIN
1927 Georgivs V D Great Britain OMN REX FDINDIMP FULL SOVEREIGN GOLD COIN
$233.50
1915 King GEORGE V Sovereign GOLD COINS LUSTROUS High Grade Low Mintage
1915 King GEORGE V Sovereign GOLD COINS LUSTROUS High Grade Low Mintage
$315.00
2013 P Gold Sovereign Austrailia PCGS PROOF 70 Deep Cameo No Reserve
2013 P Gold Sovereign Austrailia PCGS PROOF 70 Deep Cameo No Reserve
$256.03
1854 Rare QUEEN VICTORIA GOLD SOVEREIGN a SUPER HIGH GRADE GEM Rare Variety
1854 Rare QUEEN VICTORIA GOLD SOVEREIGN a SUPER HIGH GRADE GEM Rare Variety
$649.99
1892 GREAT BRITAIN 1 2 Sovereign GOLD Coin RARE SHIELD VARIETY in HIGH Grade
1892 GREAT BRITAIN 1 2 Sovereign GOLD Coin RARE SHIELD VARIETY in HIGH Grade
$349.99
1963 Gold Great Britain Sovereign Coin Brilliant Uncirculated Condition
1963 Gold Great Britain Sovereign Coin Brilliant Uncirculated Condition
$333.00
1931SA South Africa Uncirculated Gold Sovereign NGC MS 64 141995
1931SA South Africa Uncirculated Gold Sovereign NGC MS 64 141995
$449.00
1857 SOVEREIGN 1SOV NGC Appraised MS 62 Census 1 of 5
1857 SOVEREIGN 1SOV NGC Appraised MS 62 Census 1 of 5
$2,200.00
1914P Australia Uncirculated Gold Sovereign NGC MS 63 141990
1914P Australia Uncirculated Gold Sovereign NGC MS 63 141990
$999.00
1907M Australia Uncirculated Gold Sovereign NGC MS 63 142006
1907M Australia Uncirculated Gold Sovereign NGC MS 63 142006
$449.00
1901M Australia Uncirculated Gold Sovereign NGC MS 62 142007
1901M Australia Uncirculated Gold Sovereign NGC MS 62 142007
$429.00
1920P Australia Uncirculated Gold Sovereign NGC MS 63 142001
1920P Australia Uncirculated Gold Sovereign NGC MS 63 142001
$429.00
1877S Australia Gold Sovereign Shield NGC AU 58 141999
1877S Australia Gold Sovereign Shield NGC AU 58 141999
$549.00
1907S Australia Uncirculated Gold Sovereign NGC MS 63 142004
1907S Australia Uncirculated Gold Sovereign NGC MS 63 142004
$449.00
1915 S Australia Uncirculated Gold Sovereign PCGS MS 64 142000
1915 S Australia Uncirculated Gold Sovereign PCGS MS 64 142000
$659.00
1918I India Uncirculated Gold Sovereign NGC MS 63 141998
1918I India Uncirculated Gold Sovereign NGC MS 63 141998
$449.00
1908P Australia Uncirculated Gold Sovereign NGC MS 63 142003
1908P Australia Uncirculated Gold Sovereign NGC MS 63 142003
$449.00
1906S Australia Uncirculated Gold Sovereign NGC MS 62 142005
1906S Australia Uncirculated Gold Sovereign NGC MS 62 142005
$419.00
1873M Australia Uncirculated Gold Sovereign NGC MS 62 Saint George 140448
1873M Australia Uncirculated Gold Sovereign NGC MS 62 Saint George 140448
$1,799.00
1994 United Kingdom Gold Proof Sovereign Four Coin Collection w Box and COA
1994 United Kingdom Gold Proof Sovereign Four Coin Collection w Box and COA
$4,499.00



List Of Recently Purchased Sovereign Gold:


1879 m australia 1 sovereign gold coin ngc xf45 st george, great britain 1857 gold shield sovereign victoria circulated, sovereign gold set 1842 1889m 1894 1902s 1918s 1980 price reduced , great britainkm7361sovereign1856 gold yh shield back efau , full gold sovereign coin , 1983 22k gold coin united kingdom proof sovereign royal mint rare 80 gr, gold britania sovereign proof set box 1988, 1913 s gold australia sovereign king george v coin unc condition sydney mint, 1856 british halfsovereign gold coin victoria bust agw 1177 ounce, g britain gv 1913 gold coin sovereign ngc certified genuine au 58 superb, 1887 queen victoria gold full sovereign coin britain, 2000 great britain ngc ms67 12 sovereign gold coin; 01169 troy oz no reserve, gold coin ring 1911 great britain king st george v half sovereign london 63, 1872 great britain sovereign 1sov ngc au58, australia 1880m stgeorge gold sovereign ngc ms61 km7 2354oz gold, british sovereign king edward vii gold coinage, gulf war gold sovereign 2 medals royal mint behind enemy lines set, 1910 ngc au58 great britain gold sovereign, 1985 ngc pf67 cameo great britain gold sovereign proof, 1914 georgivs v d great britain omn rex fdindimp 12 sovereign gold coin 11, 1927 georgivs v d great britain omn rex fdindimp full sovereign gold coin , 1915 king george v sovereign gold coins lustrous high grade low mintage, 2013p gold sovereign austrailia pcgs proof 70 deep cameo no reserve, 1854 rare queen victoria gold sovereign a super high grade gem rare variety, 1892 great britain 12 sovereign gold coin rare shield variety in high grade, 1963 gold great britain sovereign coin brilliant uncirculated condition , 1931sa south africa uncirculated gold sovereign ngc ms64 141995, 1857 sovereign 1sov ngc appraised ms 62 census 1 of 5, 1914p australia uncirculated gold sovereign ngc ms63 141990, 1907m australia uncirculated gold sovereign ngc ms63 142006, 1901m australia uncirculated gold sovereign ngc ms62 142007, 1920p australia uncirculated gold sovereign ngc ms63 142001, 1877s australia gold sovereign shield ngc au58 141999, 1907s australia uncirculated gold sovereign ngc ms63 142004, 1915s australia uncirculated gold sovereign pcgs ms64 142000, 1918i india uncirculated gold sovereign ngc ms63 141998, 1908p australia uncirculated gold sovereign ngc ms63 142003, 1906s australia uncirculated gold sovereign ngc ms62 142005, 1873m australia uncirculated gold sovereign ngc ms62 saint george 140448, 1994 united kingdom gold proof sovereign four coin collection wbox and coa, 1914 great britain uncirculated gold 12 sovereign ngc ms64 139620, 1905s australia uncirculated gold sovereign ngc ms62 134072, 1930sa south africa uncirculated gold sovereign ngc ms63 134140, 1905p australia gold sovereign ngc ms62 134071, 1912 great britain uncirculated gold sovereign ngc ms63 134099, 1907p australia uncirculated gold sovereign ngc ms62 134082, 1911p australia gold sovereign ngc au58 134092, 1907m australia uncirculated gold sovereign ngc ms62 134080, 1918p australia uncirculated gold sovereign ngc ms63 134118, 1927sa south africa uncirculated gold sovereign ngc ms64 134131, 1911 great britain gold sovereign ngc ms63 134094, 1907p australia gold sovereign ngc au58 134081, 1877s australia gold sovereign shield ngc au55 137249, 1906p australia uncirculated gold sovereign ngc ms61 134074, 1918m australia gold sovereign ngc ms62 134116, 1927sa south africa uncirculated gold sovereign ngc ms64 137589, 1927sa south africa uncirculated gold sovereign ngc ms64 141996, 2000 great britain gold sovereign millennium 1st strike pcgs ms66 135955, 1917p australia gold sovereign ngc ms63 samaszko carson city gold hoard 134113, 1918p australia gold sovereign ngc ms62 samaszko carson city gold hoard 134117, australia 1878 m 1 sovereign sov gold coin pcgs au53 melbourne victoria young, great britain 2011 sovereign 5pc gold ngc pf70 ultra cameo set with box, great britain 1852 gold shield sovereign au victoria , australia 1863 gold sovereign sydney mint circulated, sovereign 1885 m queen victoria gold coin, great britain 1851 gold shield sovereign victoria circulated, sovereign 1864 shield back gold coin queen victoria, great britain 1866 gold shield sovereign victoria circulated, australia 1883m gold sovereign melbourne mint circulated, 1898 uk great britain gold 12 sovereign ef tah66, 1885 uk great britain gold 12 sovereign vf tah67, 1844 gold sovereign shield ms 63 pcgs large 44, the 2011 quarter gold sovereign brilliant uncirculated, the 2010 quarter gold sovereign brilliant uncirculated, the 2009 quarter gold sovereign uncirculated, 1880 great britain gold half sovereign nice high grade no die number, 1917p australia gold sovereign ms63 ngc wings , 1861 half sovereign gold coin 12 sov ngc au 53 very scarce, great britain sovereign 1966 elizabeth ii portrait, great britain 1829 george iv gold sovereign ngc au58 rare, 1853 great britain one sovereign gold coin ww incused ngc au58, 1882 s australian sovereign xf details ngc rare scarce gold victoria , australia gold sovereign coin victoria extra fine, 1899 m australian sovereign ngc vf 35 gold victoria veil head, 1930 sa south africa sovereign ngc ms 63 gold george v, 1914 gold great britain king george half sovereign ngc mint state 64, 1911gold sovereign great britain brilliant unc, 1857gold sovereign shield great britain aunc scarce date, 2012 queens diamond jubilee brilliant uncirculated gold sovereign 0146 rare, 1891s australia sovereign gold anacs ef40 exjewelry polished details amt, 1902p australia sovereign gold coin anacs au50 amt, tristan da cunha 2011 gold 2 sovereigns ngc pf69uc william amp; catherine, 1903p australia sovereign gold coin anacs ms60 scratched details amt, 1903m australia sovereign gold coin anacs au58 amt, great britain gold sovereign 1821 king george iv km 682 , 1904p australia sovereign gold coin anacs ms60 amt, 1904m australia sovereign gold coin anacs au50 amt



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