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How heavy is 5 ounces?

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It's about 0.0000000005 times as heavy as The Empire State Building.
In other words, 5 ounces is 0.0000000004280 times the weight of The Empire State Building, and the weight of The Empire State Building is 2,340,000,000 times that amount.
(New York City, New York)
The Empire State Building weighs approximately 11,700,000,000 ounces. About 4% of the building's weight is its 6,000 cu. m (200,000 cu. ft) of limestone façade.
It's about 0.0000000002 times as heavy as The Golden Gate Bridge.
In other words, 5 ounces is 0.0000000001760 times the weight of The Golden Gate Bridge, and the weight of The Golden Gate Bridge is 5,680,000,000 times that amount.
(San Francisco, California and Marin County, California) (Post 1986 weight reduction; total weight of bridge, anchorage, and approaches)
Following the completion of the 1986 project to eliminate excess material, the total weight of the Golden Gate Bridge — including its anchorages and approaches — is 28,400,000,000 ounces. The two main cables in the spanning the bridge are spun out of a total of 129,000 km (80,200 mi) of wire.
It's about 0.00000000003 times as heavy as The Great Pyramid of Giza.
In other words, 5 ounces is 0.0000000000240 times the weight of The Great Pyramid of Giza, and the weight of The Great Pyramid of Giza is 42,000,000,000 times that amount.
(a.k.a. Pyramid of Khufu, a.k.a. Pyramid of Cheops) (Cairo, Egypt)
The Great Pyramid of Giza has an estimated mass of 210,000,000,000 ounces. The 2,300,000 stones used in the construction of the pyramid weighed an average 80,000 ounces and were quarried from distances of up to 805 km (500 mi) away.
It's about 0.00000000000000000000000000000007 times as heavy as The Sun.
In other words, 5 ounces is 0.0000000000000000000000000000000710 times the weight of The Sun, and the weight of The Sun is 14,000,000,000,000,000,841,334,701,162,496.0000000000000000000000000000000000 times that amount.
The sun has a mass of 70,999,999,999,999,995,559,380,647,776,616,448.0000000000000000000000000000000000000 ounces which represents 99.9% of the solar system's total mass. 98.7% of the sun's mass consists of hydrogen and helium — respectively the lightest and second-lightest elements in the universe.
It's about 0.00000000000000000000000003 times as heavy as The Earth.
In other words, 5 ounces is 0.0000000000000000000000000237290 times the weight of The Earth, and the weight of The Earth is 42,143,000,000,000,000,983,564,288.0000000000000000000000000000000 times that amount.
The mass of the planet Earth is 210,710,000,000,000,010,708,058,112.00000000000000000000000000000000 ounces. The element iron makes up about 32% of that mass, or 67,638,000,000,000,000,171,966,464.0000000000000000000000000000000 ounces.