Cross Sections and Solids of Rotation

• cone

• cylinder

• pyramid

• prism

Figures A and B are 3-D objects. The cross-section of figure A that is parallel to it’s base is the same geometric shape as the cross-section of figure B that is perpendicular to figure B’s base. Based on this information, which of these pairs of 3-D shapes could describe figure A and figure B?

• figure A: rectangular prism; figure B: square pyramid

• figure A: rectangular prism; figure B: cylinder

• figure A: cone; figure B: square pyramid

• figure A: cone; figure B: cylinder

Which of the shapes are possible cross-sections of a cube?

• I and II

• I, II and III

• I, II and IV

• I, II, III, and IV

Identify the solid of revolution generated by revolving the region around the fixed line 𝓁.

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Identify the solid of revolution generated by revolving the region around the fixed line 𝓁.

• A

• B

• C

• D

If an equilateral triangle is continuously rotated around one of its medians, which three-dimensional object is generated?

• cone

• pyramid

• prism

• sphere

A rectangle and a horizontal line segment are shown. What is the resulting object when the rectangle is rotated around the horizontal line segment?

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

• Dome

• Circle

• Ellipse

• Rectangle

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

What is the name of this figure?

• sphere

• cone

• cylinder

• can