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How heavy is 124 tonnes?

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It's about one-and-one-fifth times as heavy as a Blue Whale.
In other words, 124 tonnes is 1.190 times the weight of a Blue Whale, and the weight of a Blue Whale is 0.840 times that amount.
(Balaenoptera musculus)
Blue whales weigh between 105 tonnes. The largest mammal to have ever lived, blue whales feed almost exclusively on krill — tiny invertebrates weighing about 0.000001000 tonnes each.
It's about four-fifths as heavy as a House.
In other words, 124 tonnes is 0.7950 times the weight of a House, and the weight of a House is 1.260 times that amount.
(149 sq. m, single-level, unfurnished)
A 149 sq. m (1,600 sq. ft), single-story, unfurnished house (without extensive masonry) of the type commonly found in America would weigh approximately 156 tonnes, based on the weight of the included materials. In contrast, a yurt — a type of dwelling structure popular among nomadic peoples of East Asia — typically weighs less than 0.460 tonnes.
It's about one-and-seven-tenths times as heavy as The Space Shuttle.
In other words, the weight of The Space Shuttle is 0.590 times 124 tonnes.
(for Endeavour, a.k.a. OV-105, a.k.a. Orbiter Vehicle-105) (empty weight, excluding main engines)
When empty, the space shuttle Endeavour weighs 71 tonnes. The shuttle's spacious cargo bay carried the Chandra X-ray Observatory into orbit in 1999 — a payload that weighed 20 tonnes.
It's about one-fifth as heavy as Christ the Redeemer (statue).
In other words, 124 tonnes is 0.1950 times the weight of Christ the Redeemer (statue), and the weight of Christ the Redeemer (statue) is 5.130 times that amount.
(a.k.a. O Cristo Redentor, a.k.a. Christo redemptor) (Rio de Janeiro, Brazil)
Christ the Redeemer weighs 635 tonnes. The statue overlooks the city of Rio de Janeiro from atop the 709.9-meter (2,329 ft) granite peak in the Tijuca Forest National Park.
It's about one-tenth as heavy as a Tree (Sierra Redwood).
In other words, the weight of a Tree (Sierra Redwood) is 11 times 124 tonnes.
(a.k.a. Giant Sequoia, a.k.a. Sierran redwood, a.k.a. Wellingtonia, a.k.a. "Big Tree", Sequoiadendron giganteum)
The weight of wood in a Giant Sequoia is 1,300 tonnes. General Sherman, a specimen in Sequoia National Park in Visalia, California, is the largest tree in the world by volume, with an estimated weight of about 1,900 tonnes.
It's about eleven times as heavy as an Anchor of a Cruise Ship.
In other words, the weight of an Anchor of a Cruise Ship is 0.0909 times 124 tonnes.
(for QE2 forward anchor, a.k.a. RMS Queen Elizabeth 2)
Each of the forward anchors of the RMS Queen Elizabeth 2 weighs 11.30 tonnes. The anchor of the QE2 now sits in front of the Holyrood Church in Southampton, England, United Kingdom, along a pedestrian tourist route known as "the QE2 mile."
It's about nineteen times as heavy as a Tyrannosaurus rex.
In other words, the weight of a Tyrannosaurus rex is 0.053 times 124 tonnes.
(for FMNH PR2081, a.k.a. "Sue") (a.k.a. Tyrannosaurus, a.k.a. T-Rex) (estimated live weight)
The notable Tyrannosaurus specimen housed at the Field Museum of Natural History in Chicago, Illinois, "Sue," is estimated to have weighed about 6.4 tonnes while alive. A renowned predator in popular culture, the teeth of tyrannosaurus rex were up to 33.02 cm (13 in) long.