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:

GOLD COIN 1904 S Australia SYDNEY Sovereign
GOLD COIN 1904 S Australia SYDNEY Sovereign
$809.10
GOLD COIN 1911 p Australia Perth Sovereign
GOLD COIN 1911 p Australia Perth Sovereign
$809.10
GOLD COIN 1903 UK Great Britain King Edward Gold Sovereign
GOLD COIN 1903 UK Great Britain King Edward Gold Sovereign
$445.50
GOLD COIN 1909 UK Great Britain King Edward Gold Sovereign
GOLD COIN 1909 UK Great Britain King Edward Gold Sovereign
$449.10
GOLD COIN 1885 M Australia MELBOURNE Sovereign very sought after more than S
GOLD COIN 1885 M Australia MELBOURNE Sovereign very sought after more than S
$1,345.50
GOLD COIN 1904 UK Great Britain King Edward Gold Sovereign
GOLD COIN 1904 UK Great Britain King Edward Gold Sovereign
$445.50
Great Britain George V 1911 1 2 Sovereign KM 819 NGC PR66 GOLD
Great Britain George V 1911 1 2 Sovereign KM 819 NGC PR66 GOLD
$1,625.00
1967 GOLD Sovereign Coin Great Britain AGW 2354 Troy oz GOLD QE2
1967 GOLD Sovereign Coin Great Britain AGW 2354 Troy oz GOLD QE2
$319.99
1928 GOLD SOUTH AFRICA SOVEREIGN MS65 PCGS
1928 GOLD SOUTH AFRICA SOVEREIGN MS65 PCGS
$1,000.00
1911 Great Britain Gold Sovereign NGC AU 58 George V
1911 Great Britain Gold Sovereign NGC AU 58 George V
$425.00
2000 UK GOLD half SovereignUNC Proof condition unboxed
2000 UK GOLD half SovereignUNC Proof condition unboxed
$299.00
2012 GREAT BRITAIN 4 PIECE PROOF GOLD SOVEREIGN SET PCGS GEM PF 1ST STRIKES
2012 GREAT BRITAIN 4 PIECE PROOF GOLD SOVEREIGN SET PCGS GEM PF 1ST STRIKES
$2,299.99
1901 P Australia Gold Sovereign Queen Victoria
1901 P Australia Gold Sovereign Queen Victoria
$286.98
SEALED 1991 Gold Proof Sovereign 3 Coin Set Great Britain UK England
SEALED 1991 Gold Proof Sovereign 3 Coin Set Great Britain UK England
$1,995.00
1912 British Sovereign Gold Coin 22KT Full
1912 British Sovereign Gold Coin 22KT Full
$350.00
Australia Gold 1 Sovereign 1916S NGC MS 63
Australia Gold 1 Sovereign 1916S NGC MS 63
$457.05
1974 GOLD Sovereign Coin Great Britain AGW 2354 Troy oz GOLD QE2 Grade AU
1974 GOLD Sovereign Coin Great Britain AGW 2354 Troy oz GOLD QE2 Grade AU
$319.99
1958 BRITAIN Q E II GOLD COIN SOVEREIGN  NGC CERT GENUINE MS 63 AMAZING a
1958 BRITAIN Q E II GOLD COIN SOVEREIGN NGC CERT GENUINE MS 63 AMAZING a
$416.46
1892 GOLD GREAT BRITAIN QUEEN VICTORIA SHIELD HALF SOVEREIGN NGC ABOUT UNC 58
1892 GOLD GREAT BRITAIN QUEEN VICTORIA SHIELD HALF SOVEREIGN NGC ABOUT UNC 58
$385.00
1927 SOUTH AFRICA GOLD SOVEREIGN MS63 NGC
1927 SOUTH AFRICA GOLD SOVEREIGN MS63 NGC
$450.00
1890 GREAT BRITAIN GOLD SOVEREIGN MS62 NGC
1890 GREAT BRITAIN GOLD SOVEREIGN MS62 NGC
$675.00
1909 Sovereign Edward Gold Coin
1909 Sovereign Edward Gold Coin
$361.99
1982 British Sovereign Gold Coin 4o grams SHIPS FREE
1982 British Sovereign Gold Coin 4o grams SHIPS FREE
$175.95
Royal Mint 500th Anniversary 1489 1989 Gold Proof Sovereign Three Coin Set 22k
Royal Mint 500th Anniversary 1489 1989 Gold Proof Sovereign Three Coin Set 22k
$1,800.00
Gold Sovereign Coin 1 4 ounce Pure Gold Bullion 1911
Gold Sovereign Coin 1 4 ounce Pure Gold Bullion 1911
$305.00
1915 22K Gold British Coin SOVEREIGN GEORGIVS VDGBRITTOMNREX 18k Bezel
1915 22K Gold British Coin SOVEREIGN GEORGIVS VDGBRITTOMNREX 18k Bezel
$850.00
1852 Great Britain Gold 1 2 Sovereign NGC VF35 Victoria
1852 Great Britain Gold 1 2 Sovereign NGC VF35 Victoria
$435.00
1897M Australia Gold Sovereign NGC XF 45
1897M Australia Gold Sovereign NGC XF 45
$399.00
1908 Great Britain Uncirculated Gold Sovereign NGC MS 62
1908 Great Britain Uncirculated Gold Sovereign NGC MS 62
$399.00
1912M Australia Uncirculated Gold Sovereign NGC MS 62
1912M Australia Uncirculated Gold Sovereign NGC MS 62
$399.00
1908M Australia Uncirculated Gold Sovereign NGC MS 62
1908M Australia Uncirculated Gold Sovereign NGC MS 62
$399.00
1907M Australia Uncirculated Gold Sovereign NGC MS 63
1907M Australia Uncirculated Gold Sovereign NGC MS 63
$425.00
1918P Australia Gold Sovereign NGC MS 62 Samaszko Carson City Gold Hoard
1918P Australia Gold Sovereign NGC MS 62 Samaszko Carson City Gold Hoard
$425.00
1915S Australia Uncirculated Gold Sovereign NGC MS 63
1915S Australia Uncirculated Gold Sovereign NGC MS 63
$399.00
1912 Great Britain Uncirculated Gold Sovereign NGC MS 63
1912 Great Britain Uncirculated Gold Sovereign NGC MS 63
$399.00
1896M Australia Gold Sovereign NGC XF 45
1896M Australia Gold Sovereign NGC XF 45
$399.00
1894S Australia Gold Sovereign NGC XF 45
1894S Australia Gold Sovereign NGC XF 45
$379.00
1853 Great Britain Gold 1 2 Sovereign NGC VG 8
1853 Great Britain Gold 1 2 Sovereign NGC VG 8
$299.00
1931SA South Africa Uncirculated Gold Sovereign NGC MS 63
1931SA South Africa Uncirculated Gold Sovereign NGC MS 63
$389.00
1910M Australia Uncirculated Gold Sovereign NGC MS 63
1910M Australia Uncirculated Gold Sovereign NGC MS 63
$399.00



List Of Recently Purchased Sovereign Gold:


gold coin 1904 s australia sydney sovereign, gold coin 1911 p australia perth sovereign, gold coin 1903 uk great britain king edward gold sovereign, gold coin 1909 uk great britain king edward gold sovereign, gold coin 1885 m australia melbourne sovereign very sought after more than s, gold coin 1904 uk great britain king edward gold sovereign, great britain george v 1911 12 sovereign km819 ngc pr66 gold, 1967 gold sovereign coin great britain agw 2354 troy oz gold qe2 , 1928 gold south africa sovereign ms65 pcgs, 1911 great britain gold sovereign ngc au 58 george v, 2000 uk gold half sovereignunc proof condition unboxed , 2012 great britain 4piece proof gold sovereign set pcgs gem pf 1st strikes, 1901 p australia gold sovereign queen victoria, sealed 1991 gold proof sovereign 3 coin set great britain uk england, 1912 british sovereign gold coin 22kt full , australia gold 1 sovereign 1916s ngc ms 63, 1974 gold sovereign coin great britain agw 2354 troy oz gold qe2 grade; au , 1958 britain q e ii gold coin sovereign ngc cert genuine ms 63 amazing a , 1892 gold great britain queen victoria shield half sovereign ngc about unc 58, 1927 south africa gold sovereign ms63 ngc , 1890 great britain gold sovereign ms62 ngc , 1909 sovereign edward gold coin, 1982 british sovereign gold coin 4o grams ships free, royal mint 500th anniversary 14891989 gold proof sovereign three coin set 22k , gold sovereign coin 14 ounce pure gold bullion 1911, 1915 22k gold british coin sovereign georgivs vdgbrittomnrex 18k bezel, 1852 great britain gold 12 sovereign ngc vf35 victoria, 1897m australia gold sovereign ngc xf45, 1908 great britain uncirculated gold sovereign ngc ms62, 1912m australia uncirculated gold sovereign ngc ms62, 1908m australia uncirculated gold sovereign ngc ms62, 1907m australia uncirculated gold sovereign ngc ms63, 1918p australia gold sovereign ngc ms62 samaszko carson city gold hoard, 1915s australia uncirculated gold sovereign ngc ms63, 1912 great britain uncirculated gold sovereign ngc ms63, 1896m australia gold sovereign ngc xf45, 1894s australia gold sovereign ngc xf45, 1853 great britain gold 12 sovereign ngc vg8, 1931sa south africa uncirculated gold sovereign ngc ms63, 1910m australia uncirculated gold sovereign ngc ms63, 1913 great britain uncirculated gold sovereign ngc ms62, 1912 great britain uncirculated gold sovereign ngc ms62, 1908m australia uncirculated gold sovereign ngc ms61, 1927sa south africa uncirculated gold sovereign ngc ms64, 1908p australia uncirculated gold sovereign ngc ms63, 1910s australia gold sovereign ngc ms62 samaszko carson city gold hoard, 1926sa south africa uncirculated gold sovereign ngc ms64, 1914s australia uncirculated gold sovereign ngc ms64, 1918p australia uncirculated gold sovereign ngc ms63, 1910s australia uncirculated gold sovereign ngc ms62, 1903m australia uncirculated gold sovereign ngc ms62, 1917p australia gold sovereign ngc ms63 samaszko carson city gold hoard, 1877s australia gold sovereign shield design ngc au58, 1931sa south africa uncirculated gold sovereign ngc ms64, 1907s australia uncirculated gold sovereign ngc ms63, 1911p australia uncirculated gold sovereign ngc ms62 pop only 1 finest known, 1905m australia uncirculated gold sovereign ngc ms63, 1918i uncirculated indiabritish gold sovereign ngc ms63 great coin, 1911 great britain uncirculated gold sovereign ngc ms63, 1896m australia gold sovereign ngc au55, 1906s australia uncirculated gold sovereign ngc ms62, ca uk queen victoria gold full sovereign 1894 m, us uk king george v gold full sovereign 1912 s, ecoins49 1628 1912 great britain gold sovereign pcgs ms 62 , great britain 1896 half sovereign gold xfau, 2000 great brittain gold half sovereign pcgs graded ms67 millenium 1st strike, great britain gold coin 1817 half sovereign george iii superb example, australia sovereign 1930, great britain gold coin half sovereign victoria 1884 nice grade, the 1984 royal mint uk gold proof full sovereign coin low opening bid, the 2008 royal mint uk gold proof full sovereign coin low opening bid, 1911 full sovereign gold coin, 1891 victoria jubilee head gold sovereign london mint, 1914 gold great britain half sovereign george v coin, 2009 great britain sovereign gold st george slaying dragon ngc ms69 nr, 1913 great britain 12 sovereign ngc au details, 1915 great britain gold sovereign km 820 free shipping 5247, 1899 great britain gold sovereign km 785 free shipping 5554, 1899m australia gold sovereign km 13 free shipping 5556, australia sydney mint 1868 sovereign au rare gold currency money coin, uk 1860 victoria young head gold sovereign anacs au53, great britain 1 sovereign gold proof 2007 st georges amp; dragon excellent, uk 1845 sovereign victoria closer date vf, uk 1852 sovereign victoria vf, uk 1855 sovereign victoria ef, uk 1853 sovereign victoria ef, uk 1862 half sovereign victoria very rare, australia 1865 gold sovereignsydney mintaef grade 798gr02354ozlk, australia 1883s gold sovereign399gr01177oz fgf gradelk, great britain 12 sovereign 1902 pcgs pr61 matte only 15000 minted , rare 1872 australia sydney gold half 12 sovereign ngc xf40 extra fine coin, rare 1875 australia sydney gold half 12 sovereign ngc xf45 extra fine coin, spectacular 1893 queen victoria british gold sovereign coin gem uncirculated, 1915 great britain gold sovereign coin bu 7213e, 1884m australia gold sovereign ngc au50 st george victoria, 1885s australia gold sovereign ngc au53 st george victoria, 1881m australia gold sovereign ngc au58 st george victoria



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