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:

SUPER NICE1968 Great Britain Queen Elizabeth II sovereign gold coin
SUPER NICE1968 Great Britain Queen Elizabeth II sovereign gold coin
$323.00
AUSTRALIA VICTORIA 1874 S SOVEREIGN GOLD COIN CERTIFIED PCGS VF 35
AUSTRALIA VICTORIA 1874 S SOVEREIGN GOLD COIN CERTIFIED PCGS VF 35
$450.00
AUSTRALIA VICTORIA 1874 M SOVEREIGN GOLD COIN CERTIFIED PCGS XF 45
AUSTRALIA VICTORIA 1874 M SOVEREIGN GOLD COIN CERTIFIED PCGS XF 45
$450.00
1914 GOLD COIN Sovereign Great Britain King St George V slaying dragon 1 4 oz
1914 GOLD COIN Sovereign Great Britain King St George V slaying dragon 1 4 oz
$356.00
Queen Elizabeth II gold Proof Sovereign of the year 2010
Queen Elizabeth II gold Proof Sovereign of the year 2010
$500.00
1914 KING GEORGE V GOLD SOVEREIGN 02354 ozt
1914 KING GEORGE V GOLD SOVEREIGN 02354 ozt
$370.00
2010 GOLD GREAT BRITAIN QUARTER SOVEREIGN NGC PROOF 70 ULTRA CAMEO
2010 GOLD GREAT BRITAIN QUARTER SOVEREIGN NGC PROOF 70 ULTRA CAMEO
$275.00
1851 Great Britain Gold Sovereign PCGS MS63 S 3852C
1851 Great Britain Gold Sovereign PCGS MS63 S 3852C
$2,085.25
1847 Great Britain Gold Sovereign PCGS MS64 S 3852
1847 Great Britain Gold Sovereign PCGS MS64 S 3852
$3,752.50
1902 British Gold Sovereign In Uncirculated MS Condition with Great Luster
1902 British Gold Sovereign In Uncirculated MS Condition with Great Luster
$385.00
GREAT BRITAIN 1910 KING EDWARD VII GOLD HALF SOVEREIGN COIN
GREAT BRITAIN 1910 KING EDWARD VII GOLD HALF SOVEREIGN COIN
$215.00
1902 Great Britain UK 5 Pound Sovereign Gold Coin NGC AU50 11775 Oz AGW KM 807
1902 Great Britain UK 5 Pound Sovereign Gold Coin NGC AU50 11775 Oz AGW KM 807
$2,799.99
1979 Great Britain Full Sovereign Gold Royal Mint Proof Coin
1979 Great Britain Full Sovereign Gold Royal Mint Proof Coin
$550.00
1982 Great Britain Full Sovereign Gold Royal Mint Proof Coin
1982 Great Britain Full Sovereign Gold Royal Mint Proof Coin
$550.00
1983 Great Britain Full Sovereign Gold Royal Mint Proof Coin
1983 Great Britain Full Sovereign Gold Royal Mint Proof Coin
$550.00
1980 Great Britain Full Sovereign Gold Royal Mint Proof Coin
1980 Great Britain Full Sovereign Gold Royal Mint Proof Coin
$550.00
1981 Great Britain Full Sovereign Gold Royal Mint Proof Coin
1981 Great Britain Full Sovereign Gold Royal Mint Proof Coin
$550.00
1911 British GOLD Sovereign King GEORGIVS V D G BRITT OMN REX
1911 British GOLD Sovereign King GEORGIVS V D G BRITT OMN REX
$325.20
UK 1860 Victoria Young Head Gold Sovereign ANACS AU53
UK 1860 Victoria Young Head Gold Sovereign ANACS AU53
$699.99
1912 British Sovereign Coin St George Slaying the Dragon
1912 British Sovereign Coin St George Slaying the Dragon
$399.99
Antique 22K SOLID GOLD GEORGE V SOVEREIGN COIN Pocket Watch Fob 1915
Antique 22K SOLID GOLD GEORGE V SOVEREIGN COIN Pocket Watch Fob 1915
$499.00
ANACS AU55 1876 M Australia Gold Sovereign 02354 Troy Ounce Gold
ANACS AU55 1876 M Australia Gold Sovereign 02354 Troy Ounce Gold
$575.00
ANACS AU50 1879 M Australia Gold Sovereign 02354 Troy Ounce Gold St George
ANACS AU50 1879 M Australia Gold Sovereign 02354 Troy Ounce Gold St George
$495.00
NGC XF40 1889 S Australia Gold Sovereign 02354 Troy Ounce Gold St George
NGC XF40 1889 S Australia Gold Sovereign 02354 Troy Ounce Gold St George
$495.00
ANACS AU53 1877 M Australia Gold Sovereign 02354 Troy Ounce Gold St George
ANACS AU53 1877 M Australia Gold Sovereign 02354 Troy Ounce Gold St George
$525.00
NGC XF40 1892 M Australia Gold Sovereign 02354 Troy Ounce Gold St George
NGC XF40 1892 M Australia Gold Sovereign 02354 Troy Ounce Gold St George
$495.00
1894 M AUSTRALIAN 1 SOVEREIGN FEEL SECURE WITH A HIGH GRADED COIN TAKE A LOOK
1894 M AUSTRALIAN 1 SOVEREIGN FEEL SECURE WITH A HIGH GRADED COIN TAKE A LOOK
$395.00
GOLD Sovereign 1853 Victoria WW raised  RARE
GOLD Sovereign 1853 Victoria WW raised RARE
$399.00
1832 Great Britain Sovereign Graded by NGC as VF 35 Features William IV Obv
1832 Great Britain Sovereign Graded by NGC as VF 35 Features William IV Obv
$1,999.99
Great Britain 1892 Gold Half Sovereign Jubilee Bust NGC cert VF details
Great Britain 1892 Gold Half Sovereign Jubilee Bust NGC cert VF details
$279.00
CYPRUS 1966 ARCHBISHOP MAKARIOS SOVEREIGN SET 3 GOLD COINS VERY RARE 5 POUNDS
CYPRUS 1966 ARCHBISHOP MAKARIOS SOVEREIGN SET 3 GOLD COINS VERY RARE 5 POUNDS
$5,000.00
1888 Gold Full Sovereign Victoria Jubilee Head London St George Low mintage year
1888 Gold Full Sovereign Victoria Jubilee Head London St George Low mintage year
$389.00
Great Britain Sovereign 1904 M
Great Britain Sovereign 1904 M
$335.00
Great Britain Sovereign 1902 M
Great Britain Sovereign 1902 M
$315.00
Great Britain Sovereign 1899
Great Britain Sovereign 1899
$338.00
Great Britain Sovereign 1958
Great Britain Sovereign 1958
$309.55
1917 C Gold Sovereign Ottowa Mint PCGS AU58 George V St George
1917 C Gold Sovereign Ottowa Mint PCGS AU58 George V St George
$310.00
1986 GREAT BRITAIN FULL GOLD SOVEREIGN GOLD COIN NGC PF70 PR70
1986 GREAT BRITAIN FULL GOLD SOVEREIGN GOLD COIN NGC PF70 PR70
$1,085.00
1915 GOLD GREAT BRITAIN HALF SOVEREIGN COIN NGC MINT STATE 63
1915 GOLD GREAT BRITAIN HALF SOVEREIGN COIN NGC MINT STATE 63
$325.00
2008 GOLD GREAT BRITAIN 2 SOVEREIGN COIN NGC PROOF 70 ULTRA CAMEO
2008 GOLD GREAT BRITAIN 2 SOVEREIGN COIN NGC PROOF 70 ULTRA CAMEO
$925.00



List Of Recently Purchased Sovereign Gold:


super nice1968 great britain queen elizabeth ii sovereign gold coin, australia victoria 1874s sovereign gold coin certified pcgs vf35, australia victoria 1874m sovereign gold coin certified pcgs xf45, 1914 gold coin sovereign great britain king st george v slaying dragon 14 oz, queen elizabeth ii gold proof sovereign of the year 2010 , 1914 king george v gold sovereign 02354 ozt, 2010 gold great britain quarter sovereign ngc proof 70 ultra cameo, 1851 great britain gold sovereign pcgs ms63 s3852c, 1847 great britain gold sovereign pcgs ms64 s3852, 1902 british gold sovereign in uncirculated ms condition with great luster, great britain 1910 king edward vii gold half sovereign coin, 1902 great britain uk 5 poundsovereign gold coin ngc au50 11775 oz agw km807, 1979 great britain full sovereign gold royal mint proof coin, 1982 great britain full sovereign gold royal mint proof coin, 1983 great britain full sovereign gold royal mint proof coin, 1980 great britain full sovereign gold royal mint proof coin, 1981 great britain full sovereign gold royal mint proof coin, 1911 british gold sovereign king georgivs v d g britt omn rex, uk 1860 victoria young head gold sovereign anacs au53, 1912 british sovereign coin st george slaying the dragon, antique 22k solid gold george v sovereign coin pocket watch fob 1915, anacs au55 1876m australia gold sovereign 02354 troy ounce gold, anacs au50 1879m australia gold sovereign 02354 troy ounce gold st george, ngc xf40 1889s australia gold sovereign 02354 troy ounce gold st george, anacs au53 1877m australia gold sovereign 02354 troy ounce gold st george, ngc xf40 1892m australia gold sovereign 02354 troy ounce gold st george, 1894m australian 1 sovereign feel secure with a high graded coin take a look, gold sovereign 1853 victoria ww raised rare , 1832 great britain sovereign graded by ngc as vf 35 features william iv obv, great britain 1892 gold half sovereign jubilee bust ngc cert vf details , cyprus 1966 archbishop makarios sovereign set 3 gold coins very rare 5 pounds, 1888 gold full sovereign victoria jubilee head london st george low mintage year, great britain sovereign 1904m, great britain sovereign 1902m, great britain sovereign 1899, great britain sovereign 1958, 1917c gold sovereign ottowa mint pcgs au58 george v st george , 1986 great britain full gold sovereign gold coin ngc pf70 pr70 , 1915 gold great britain half sovereign coin ngc mint state 63, 2008 gold great britain 2 sovereign coin ngc proof 70 ultra cameo, 2010 gold great britain half sovereign coin ngc proof 70 ultra cameo, 1892 gold great britain 12 sovereign ngc extra fine 45 queen victoria shield, 1861 australia gold victoria half sovereign 12s anacs au50 detail rare, 1875 m victoria young head sovereign gold coin australia melbourne mint, 1911c gold sovereign ottowa mint pcgs ms 62 george v st george , 1836 british sovereign gold coin william iv ngc xf45 low mintage rare, 1983 qe2 proof gold half sovereign boxed, new 2013 qe2 full gold sovereign brilliant unc, 1912 george v full sovereign lustre, 2010 qe2 gold bu half sovereign walnut gift boxed, new 2014 qe2 full gold sovereign brilliant unc, 1925 george v full sovereign lustre, 2005 qe2 proof gold half sovereign boxed coa, 2009 qe2 proof gold half sovereign boxed coa, new 2012 qe2 gold full sovereign bunc brand new, 1916 george v gold full sovereign presentation box, 1923 george v gold full sovereign presentation box, new 2011 qe2 full gold sovereign brilliant unc, 1965 qe2 full sovereign unc lustre, 1978 qe2 full sovereign unc lustre, 1929 king george v full gold sovereign lustre, 1997 qe2 gold proof half sovereign boxed coa, 2002 qe2 proof shield reverse half sovereign boxedcoa, 1904 edward vii gold full sovereign presentation box, 2008 qe2 half proof gold sovereign boxed coa, 2000 qe2 full sovereign unc lustre, 1958 qe2 full sovereign unc lustre, 2008 qe2 gold full sovereign bunc new, 1982 qe2 proof gold half sovereign boxed, 1929 george v gold full sovereign presentation box, 1915 george v gold full sovereign presentation box , 1905 edward vii gold full sovereign presentation box, new 2011 qe2 gold proof half sovereign boxed coa, 1966 qe2 full sovereign unc lustre, 2000 qe2 full bunc gold sovereign boxed, 1913 king george v full gold sovereign lustre, 1986 qe2 proof gold half sovereign boxed, 1917 george v gold full sovereign presentation box, 1927 king george v full gold sovereign lustre, 1963 qe2 full sovereign unc lustre, 1906 edward vii gold full sovereign presentation box, 2013 new qe2 gold proof half sovereign boxed coa, 2003 qe2 full sovereign unc presentation box , 1914 george v gold full sovereign presentation box, 1918 king george v full gold sovereign lustre, 1964 qe2 full sovereign unc lustre, 1906 edward vii full gold sovereign lustre, 2006 qe2 full sovereign unc presentation box , 1915 george v full sovereign lustre, 1909 edward vii gold full sovereign presentation box, 2000 qe2 proof half sovereign boxed coa, 1908 edward vii full gold sovereign lustre, 1910 king edward vii full gold sovereign lustre, 1981 qe2 full sovereign unc lustre, 2000 qe2 half sovereign unc luxury box capsule, 1914 george v full sovereign lustre, new 2011 qe2 gold half sovereign brilliant unc



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