

Makeup work_ Cavalieri's principle
Presentation
•
Mathematics
•
9th - 10th Grade
•
Medium
+2
Standards-aligned
Alina Sanchez Mederos
Used 15+ times
FREE Resource
3 Slides • 20 Questions
1
Makeup work(

2
3
4
Multiple Choice
Only A & B
Only A & C
Only B & C
A, B and C
5
Multiple Choice
The base areas are not the same.
It isn’t true that corresponding cross-sections have the same area.
The heights are not the same.
6
Multiple Choice
The base areas are not the same.
It isn’t true that corresponding cross-sections have the same area.
She did not establish that heights are the same.
7
Multiple Choice
The base areas are not the same.
It isn’t true that corresponding cross-sections have the same area.
The heights are not the same.
8
Multiple Choice
Right triangle ABC has legs whose lengths are 4 and 6. What is the volume of the three-dimensional object formed by continuously rotating the right triangle around AB ?
32π
48π
96π
144π
9
Multiple Choice
Triangle ABC, with vertices at A(0,0), B(3,5), C(0,5) and , is graphed. Which figure is formed when ΔABC is rotated continuously about BC?
10
Multiple Choice
What solid 3D object is produced by rotating the triangle around line m?
Triangular Prism
Cylinder
Cone
Triangular Pyramid
11
Multiple Choice
What 3-D solid is formed when this rectangle is rotated about the vertical line?
Right, rectangular prism
Right, circular cylinder
Right, oval cylinder
Right, square prism
12
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.
13
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.
14
Multiple Choice
Based on Cavalieri's Principle, will the two prisms have the same volume? (Remember to look at the height.)
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.
15
Multiple Choice
According to Cavalieri's Principle, how many disks could fit inside the cylinder? (Remember to look at the height.)
12 disks
6 disks
10 disks
16
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.
17
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.
18
Multiple Choice
19
Multiple Choice
20
Multiple Choice
21
Multiple Choice
22
Multiple Choice
Describe the cross section.
circle
oval
semi-circle
trapezoid
23
Multiple Choice
Makeup work(

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