
Understanding Cavalieri's Principle
Interactive Video
•
Mathematics, Science
•
7th - 12th Grade
•
Easy
Standards-aligned

Ethan Morris
Used 2+ times
FREE Resource
Standards-aligned
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What remains unchanged when a cylinder is cut and its parts are shifted?
The volume of the cylinder
The weight of the cylinder
The height of the cylinder
The surface area of the cylinder
Tags
CCSS.7.G.A.3
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What analogy is used to describe the process of cutting and shifting a cylinder?
Poker chips
Building blocks
Dominoes
Jigsaw puzzle
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
According to Cavalieri's Principle, what must be the same for two figures to have the same volume?
Their base area
Their weight
Their surface area
Their height and cross-sectional area at any point
Tags
CCSS.8.G.C.9
CCSS.HSG.GMD.A.3
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How does Cavalieri's Principle apply to prisms?
Prisms must have the same surface area
Prisms must have the same height and cross-sectional area at any point
Prisms must have the same base area
Prisms must have the same weight
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What happens to the volume of a pyramid when it is cut and shifted according to Cavalieri's Principle?
The volume increases
The volume decreases
The volume doubles
The volume remains the same
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is a key requirement for Cavalieri's Principle to hold true for any figure?
The figure must be symmetrical
The figure must have the same height and cross-sectional area at any point
The figure must be a regular shape
The figure must have equal base and top areas
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How does Cavalieri's Principle apply to spheres?
Spheres must have the same surface area
Spheres must have the same diameter
Spheres must have the same height and cross-sectional area at any point
Spheres must have the same radius
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