Cavalieri's Principle and Density
Flashcard
•
Mathematics
•
9th - 11th Grade
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is density?
Back
Density is a measure of mass per unit volume, typically expressed in grams per cubic centimeter (g/cm³).
2.
FLASHCARD QUESTION
Front
How do you calculate density?
Back
Density = Mass / Volume.
3.
FLASHCARD QUESTION
Front
What is Cavalieri's Principle?
Back
Cavalieri's Principle states that if two solids have the same height and the same cross-sectional area at every level, they have the same volume.
4.
FLASHCARD QUESTION
Front
What is the formula to find the volume of an object given its mass and density?
Back
Volume = Mass / Density.
5.
FLASHCARD QUESTION
Front
If an object has a mass of 10g and a density of 2g/cm³, what is its volume?
Back
5 cm³.
6.
FLASHCARD QUESTION
Front
What is the relationship between mass, volume, and density?
Back
Mass is directly proportional to density and volume; as one increases, the others may change depending on the context.
7.
FLASHCARD QUESTION
Front
If the density of water is 1 g/cm³, what is the density of an object that sinks in water?
Back
The density of the object is greater than 1 g/cm³.
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