Geo: Cavalieri's Principle and Modeling

Describe the cross section.

• triangle
• rectangle
• trapezoid
• square

Tags

CCSS.7.G.A.3

What shape will the horizontal cross-section of a sphere be?

• Dome
• Circle
• Ellipse
• Rectangle

Tags

CCSS.7.G.A.3

What shape will the vertical cross -section of a cylinder be?

• Circle
• Triangle
• Rectangle
• Ellipse

Tags

CCSS.7.G.A.3

Describe the cross-section.

• square
• rectangle
• triangle
• circle

Tags

CCSS.7.G.A.3

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

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

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

How many vertices does this shape have?

• 3

• 4

• 5

• 6

Tags

CCSS.6.G.A.4

How many faces does this shape have?

• 3

• 4

• 5

• 6

Tags

CCSS.6.G.A.4

What solid is this formula used for?

• Prisms
• Pyramids
• Cones
• Spheres

Tags

CCSS.7.G.B.6