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- 1. Multiple Choice
Describe the cross section.trianglerectangletrapezoidsquare - 2. Multiple ChoiceWhat shape will the horizontal cross-section of a sphere be?DomeCircleEllipseRectangle
- 3. Multiple ChoiceWhat shape will the vertical cross -section of a cylinder be?CircleTriangleRectangleEllipse
- 4. Multiple ChoiceDescribe the cross-section.squarerectangletrianglecircle
- 5. Multiple ChoiceWhich best describes the cross-section?squaretriangleparallelogramhexagon
- 6. Multiple Choice
According to Cavalieri's Principle, how many disks could fit inside the cylinder?
12 disks
6 disks
10 disks
- 7. Multiple Choice
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.
- 8. Multiple Choice
Determine whether the 3-D figures are congruent to each other. (Hint: Find the area of the cross-sectional shapes).
False. Although the cross-sectionals' area and heights of the 3-D figures are the same,the shapes are not congruent
True. The cross-sectionals' area and the heights of the 3-D figures are the same. They don't have to be the same shape.
False. The cross-sections are not the same shape.
True. All the shapes are 3-D figures and the same height.
- 9. Multiple Choice
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.
- 10. Multiple Choice
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.
- 11. Multiple Choice
According to Cavalieri's Principle, how many disks can fit inside of the cone?
8 disks
12 disks
20 disks
6 disks
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