Warm Up Quiz: Cavalieri's Principle & Volume
Authored by Chris Jackson
Mathematics
10th Grade
CCSS covered
Used 5+ times
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10 questions
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1.
MULTIPLE CHOICE QUESTION
45 sec • 1 pt
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.
Tags
CCSS.8.G.A.2
2.
MULTIPLE CHOICE QUESTION
45 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
3.
MULTIPLE CHOICE QUESTION
45 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, the base areas are the same, and they have the same cross-sectional area. Therefore, they will have the same volume.
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
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
Tags
CCSS.7.G.A.3
5.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
What is the exact volume of the pyramid?
Tags
CCSS.HSG.GMD.A.3
6.
MULTIPLE CHOICE QUESTION
45 sec • 1 pt
a) Cavalieri’s Principle states that any two objects with the same cross sectional areas, the same base area, and the same 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.
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What solid 3D object is produced by rotating the triangle around line m?
Triangular Prism
Cylinder
Cone
Triangular Pyramid
Tags
CCSS.7.G.A.3
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