Cross Section and Solids of Rotation

What shape does this cross section cut perpendicular to the base NOT through the vertex make?

• Triangle

• Trapezoid

• Rectangle

• Parallelogram

A plane intersects a hexagonal prism. The plane is perpendicular to the base of the prism. Which two-dimensional figure is the cross section of the plane intersecting the prism?

• triangle

• trapezoid

• hexagon

• rectangle

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

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

• cone

• pyramid

• prism

• sphere

Which 3-D solid is created when the rectangle is rotated about the horizontal line?

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Describe the cross section.

• triangle

• rectangle

• oval

• trapezoid

What is the area of the cross-section if the diameter of the base is 6 feet and the height of the cylinder is 8 feet.

• 24 ft²

• 48 ft²

• 8 ft²

• 4 ft²

Select the 2D object that can be rotated to form the 3D object shown.

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A cylinder is cut parallel to the base. What is the shape of the cross-section formed?

• Circle

• Rectangle

• Triangle

• Trapezoid