Cavalieri’s Principle states that any two objects with the same cross sectional areas and heights must have the same volume.

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.

Based on Cavalieri's Principle, will the two prisms have the same volume?

Yes, the heights of both prisms are the same and they have the same cross-sectional area. Therefore, they will have the same volume.

No, they will not be same. Although the heights are the same, the cross-sections are different shapes.

Determine whether the 3-D figures are congruent to each other. (Hint: Find the area of the cross-sectional shapes).

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. Although the cross-sectionals' area and heights of the 3-D figures are the same,the shapes are not congruent

False. The cross-sections are not the same shape.

True. All the shapes are 3-D figures and the same height.

Cross Sections and Composite Area

Quiz

•

Mathematics

•

10th Grade

•

Practice Problem

•

Hard

•

CCSS

7.G.A.3, 3.MD.C.7D, 5.MD.C.5C

+4

Standards-aligned

Anthony Clark

FREE Resource

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What is the area of the shaded region?

14 m²

120 m²

106 m²

134 m²

Tags

CCSS.3.MD.C.7D

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Find the ratio (red to blue) of the area.

9/14

14/9

196/81

81/196

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Cross Sections and Composite Area

20 questions

What is the area of the composite figure?

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

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

Describe the cross section.

What is the approximate area of the shaded region?

What is the area of the shaded region?

Find the ratio (red to blue) of the area.

What shape will the angled cross-section of a rectangular pyramid be?

Describe the cross section.

Describe the cross section.

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