Archimedes trivia
Archimedes Mini Quiz
Test your knowledge with these top questions!
Shouting 'Eureka!' in his bath, Archimedes discovered a way to test a king's gold crown using what principle of floating objects?
Archimedes tested the crown's purity by immersing it in water to measure displaced volume, then comparing the crown's weight to an equal-weight pure gold sample to check density via buoyancy.
To move the Earth, Archimedes claimed he needed a long enough one and a firm place to stand; what simple machine did he praise?
Archimedes formalized the lever's mechanical advantage in his treatise "On the Equilibrium of Planes," showing that effort applied farther from the fulcrum can lift heavier loads closer to it.
Defending his city from Roman ships, Archimedes designed a giant claw that could lift vessels out of the water; what was his hometown?
Archimedes' Claw, used to defend Syracuse from Roman galleys in 214 BC, was a massive crane-like device that reportedly lifted ships from the water and dashed them against rocks.
Archimedes invented a twisting device to lift water for irrigation, still used in wastewater treatment today; what is it called?
The Archimedes' screw, invented around 250 BC, uses a rotating helical blade inside a cylinder to lift water upward against gravity, making it an efficient, low-energy pump still employed in modern wastewater treatment for moving solids-laden fluids.
Using polygons inside and outside a circle, Archimedes found a clever way to approximate what key math constant we use daily?
Archimedes approximated pi by inscribing and circumscribing regular polygons with up to 96 sides around a circle, bounding its value between 3 10/71 and 3 1/7.
During a Roman siege, a soldier killed Archimedes as he studied figures in the sand, ignoring orders to capture the genius alive; what was he doing?
Archimedes was drawing geometric diagrams in the sand with a stick during the Roman siege of Syracuse in 212 BC when a soldier killed him, ignoring orders to take him alive.
Archimedes asked for his tomb to feature a sphere inside another shape, honoring his proof that a sphere's volume is two-thirds that of its enclosing what?
Archimedes proved that the volume of a sphere is two-thirds the volume of its circumscribing cylinder, and he requested a model of this on his tombstone as his legacy.
Archimedes' work calculating sand grains to fill the universe proved math could handle vast numbers; what was it called?
Archimedes' "The Sand Reckoner" devised a numeral system using powers of 10^8 to express numbers up to 10^63, estimating the grains of sand needed to fill the observable universe.