Geo: Cavalieri's Principle and Modeling
Authored by Tanja Tyus
Mathematics
9th - 12th Grade
CCSS covered
Used 1+ times
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14 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Describe the cross section.
Tags
CCSS.7.G.A.3
2.
MULTIPLE CHOICE QUESTION
2 mins • 1 pt
What shape will the horizontal cross-section of a sphere be?
Tags
CCSS.7.G.A.3
3.
MULTIPLE CHOICE QUESTION
2 mins • 1 pt
What shape will the vertical cross -section of a cylinder be?
Tags
CCSS.7.G.A.3
4.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
Describe the cross-section.
Tags
CCSS.7.G.A.3
5.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
a) Cavalieri’s Principle states that any two objects with the same cross sectional areas and heights must have the same volume.
True
False - the cross sectional areas are not relevant
False - only the slant height is relevant
False - even if they have the same cross sectional areas and heights, they cannot have the same volume.
Tags
CCSS.HSG.GMD.A.1
CCSS.HSG.GMD.A.2
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Jenny says that the two prisms DO NOT have the same volume because the cross sections are not the same. Renee disagrees; she says that it isn't the shape that has to be the same but the area. Renee thinks they have the same volume.
Who is correct?
Jenny
Renee
Neither Jenny or Renee is correct.
Tags
CCSS.7.G.B.6
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Based on Cavalieri's Principle, will the two prisms have the same volume?
No, they will not be same. Although the heights are the same, the cross-sections are different shapes.
Yes, the heights of both prisms are the same and they have the same cross-sectional area. Therefore, they will have the same volume.
Tags
CCSS.HSG.GMD.A.3
CCSS.HSG.GMD.A.1
CCSS.HSG.GMD.A.2
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