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According to the U.S. Energy Information Administration, the US used approximately 4.12 x 10¹² kWh of electrical energy during 2010.

(a) If we could generate all the energy using a matter-antimatter reactor, how many kilograms of fuel would the reactor need, assuming 100% efficiency in the annihilation?

(b) Suppose the fuel consisted of iron and anti-iron, each of density 7800 kg/m³. If the iron and anti-iron were each stored as a cubical pile, what would be the dimensions of each cube?

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