Presumably from an enquiring mind, more than anything else.
Whether he can be said to have "invented" or "discovered" them, is another matter.
it was Archimedes
Yes. Archimedes did invent the pulley.
Although some have said Archimedes, my opinion is that the formulas for area and perimeter of a rectangle were well known before his time (300BC). The Babylonians in 1500BC knew how to create Pythagorean triples, so I wouldn't be surprised if they knew this. Archimedes did discover more difficult formulas, such as perimeter and area of a circle, and volume of a sphere and a cone.
yes
Yes
No.
no, he did not !he explained how the lever works, the rule, the law, he did not invent it!
i think Archimedes's invented his inventions cause they deal with math
He didn't invent the catapult it was dionysius and he invented it in 399 B.C.
yes he was a brilliant inventer
Archimedes invent the compound pulley around 250 BC. The invention was to utilize leverage to make moving a heavy object easier.
Yes but it may or may not have been invented before his time by others.