Why the Elephant Has Thick Legs

74-hikoya, jami 80 ta

Hikoyani tinglang

Highlighted words are key vocabulary — tap one to see its translation. Colors show the part of speech:

Verb Adjective Adverb Expression

Imagine an animal made twice as long, twice as wide and twice as tall — the same shape, simply enlarged. Its weight depends on how much body there is, and body is a volume, so the weight becomes eight times greater.

Now look at what has to carry that weight. A bone holds a load across its cross-section, and a cross-section is an area, so it becomes only four times greater.

Eight times the weight on four times the support. Every part of the bone now carries twice what it did before. Double the animal again and the load doubles again. Long before an animal reaches the size of a house, its legs must become disproportionately thick, or they break.

That is exactly what large animals look like. An elephant's legs are thick columns held almost straight beneath it; a mouse of the same shape would look absurd. The mouse can afford thin bent legs because it weighs almost nothing.

Nothing in this argument is about bone. Swap in any material you like and the numbers do not change: eight against four, whatever the animal is made of.

The same rule limits insects, decides how tall a tree can grow, and explains why a small creature can fall a long way and walk off. It is not biology. It is the fact that volume grows as the cube of length while area grows only as the square.

Matndagi atamalar

Kartani bosing — taʼrifi chiqadi.

enlarged
kattalashtirilgan
weight
ogʻirlik
body
tana
carry
koʻtarmoq
cross-section
kesim
support
tayanch
disproportionately
nomutanosib
break
sinmoq
columns
ustunlar
mouse
sichqon
nothing
hech narsa
of
… dan yasalgan
insects
hasharotlar
creature
hayvon
square
kvadrat

Qoida va formulalar

Matnda ishlatilgan matematik qoida.

weight depends on volume

ogʻirlik hajmga bogʻliq — kub boʻyicha oshadi

a cross-section is an area

kesim — yuza, demak kvadrat boʻyicha oshadi

disproportionately thick

nomutanosib qalin — shakl saqlanmaydi

Tekshirib koʻring

Matnni oʻqing, keyin hisoblang. Javobni bosib tekshiring.

1. If an animal is doubled in every direction, what happens to its weight?

2. What happens to the bone's cross-section?

3. What does the reading say the rule really is?