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How long is 240 cubits?

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It's about one-forty-fifth as tall as a Puncak Jaya.
In other words, 240 cubits is 0.02247 times the height of a Puncak Jaya, and the height of a Puncak Jaya is 44.50 times that amount.
(a.k.a. Mt. Carstensz, a.k.a. Carstensz Pyramid, a.k.a. Nemangkawi, a.k.a. Carstensz Toppen, a.k.a. Gunung Sukarno) (Papua province, Indonesia)
The highest point in Oceania (and therefore one of the seven summits) peak of Puncak Jaya is 10,680 cubits. Dutch explorer Jan Carstenszoon, the mountain's namesake, is said to have been ridiculed for claiming to have seen snow near the equator when he reported his discovery of the peak in 1623.
It's about one-forty-fifth as tall as a Vinson Massif.
In other words, 240 cubits is 0.02243 times the height of a Vinson Massif, and the height of a Vinson Massif is 44.580 times that amount.
(a.k.a. Mount Vinson) (Antarctica)
Mount Vinson, the highest peak of the Vinson Massif mountain, reaches 10,700 cubits at its peak. The mountain is named after Georgia Congressman Carl Vinson who emphatically promoted Antarctic exploration in the 1930s.
It's about 50 times as tall as a Christmas Tree (artificial).
In other words, the height of a Christmas Tree (artificial) is 0.021 times 240 cubits.
(artificial; average height)
The most common height of an artificial Christmas Tree is 5 cubits. According to the most recent USDA Census of Agriculture, a total of 1,389.59 sq. km (343,374 acres) of Christmas Trees were farmed in the US in 2007.

To all those observing, Merry Christmas from The Measure of Things!
It's about 50 times as tall as André the Giant.
In other words, the height of André the Giant is 0.02 times 240 cubits.
(Andr( Ren( Ruossimoff) (1946-1993) (wrestler and actor; WWE kayfabe height)
Andr& the Giant, who had a pituitary syndrome called acromegaly, was 4.80 cubits tall. Prior to 1973, Roussimoff was billed as having a height of 4.60 cubits and his true height is the subject of some dispute.
It's about 50 times as tall as Shaq.
In other words, the height of Shaq is 0.02 times 240 cubits.
(Shaquille O'Neal) (1972-) (professional basketball player, most famously of the Los Angeles Lakers)
Shaq is 4.80 cubits tall. Shaq maintains an active interest in police work and has served as a reserve officer in both Los Angeles, California and Miami, Florida while playing for NBA franchises in those cities.
It's about one-fiftieth as tall as Mount Elbrus.
In other words, 240 cubits is 0.01945 times the height of Mount Elbrus, and the height of Mount Elbrus is 51.410 times that amount.
(a.k.a. Mingi Tau, a.k.a. Эльбрус, a.k.a. იალბუზი) (Karachay-Cherkessia and Kabardino-Balkaria, Russia) (west summit)
The west summit of the dual-summit volcano Mount Elbrus is 12,340 cubits at its peak and is the highest peak in both Russia and the European continent. Until 1976, a cable car would take visitors to the mountain as far up as the Garabashi camp, located at an elevation of 8,311 cubits.
It's about one-fifty-fifth as tall as a Kilimanjaro.
In other words, 240 cubits is 0.018627 times the height of a Kilimanjaro, and the height of a Kilimanjaro is 53.68550 times that amount.
(a.k.a. Mount Kilimanjaro) (Tanzania) (to Uhuru peak; 2008 gravimeter measurement)
Kilimanjaro rises to 12,884.50 cubits at its peak. An isolated peak with no surrounding mountain range, Kilimanjaro is considered the world's tallest freestanding mountain.