3D cross sections and 2D rotations

A student has a rectangular postcard that he folds in half lengthwise.  Next, he rotates it continuously about the folded edge.  Which three-dimensional object below is generated by this rotation?

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CCSS.8.G.A.1

If the rectangle below is continuously rotated about side w, which solid figure is formed?

 

• pyramid

• rectangular prism

• cone

• cylinder

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CCSS.HSG.GMD.A.1

CCSS.HSG.GMD.A.2

Which object is formed when right triangle RST shown below is rotated around leg RS?

• a pyramid with a square base

• an isosceles triangle

• a right triangle

• a cone

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CCSS.HSG.GMD.A.1

CCSS.HSG.GMD.A.3

Triangle ABC represents a metal flag on pole AD, as shown in the accompanying diagram. On a windy day the triangle spins around the pole so fast that it looks like a three-dimensional shape.

 

 

Which shape would the spinning flag create?

• sphere

• pyramid

• right circular cylinder

• cone

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CCSS.HSG.GMD.A.2

CCSS.HSG.GMD.A.3

Circle O is centered at the origin.  In the diagram below, a quarter of circle O is graphed. Which three-dimensional figure is generated when the quarter circle is continuously rotated about the y-axis?

• cone

• sphere

• cylinder

• hemisphere

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CCSS.HSG.GMD.A.1

CCSS.HSG.GMD.A.2

CCSS.HSG.GMD.A.3

CCSS.HSG.MG.A.1

If a rectangle is continuously rotated around one of its sides, what is the three-dimensional figure formed?

• rectangular prism

• cylinder

• sphere

• cone

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CCSS.HSG.GMD.A.1

CCSS.HSG.GMD.A.3

If an equilateral triangle is continuously rotated around one of its medians, which 3-dimensional object is generated?

• cone

• pyramid

• prism

• sphere

An isosceles right triangle whose legs measure 6 is continuously rotated about one of its legs to form a three-dimensional object.  The three-dimensional object is a

• cylinder with a diameter of 6

• cylinder with a diameter of 12

• cone with a diameter of 6

• cone with a diameter of 12

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CCSS.HSG.GMD.A.1

CCSS.HSG.GMD.A.3

Square MATH has a side length of 7 inches.  Which three-dimensional object will be formed by continuously rotating square MATH around side AT ?

• a right cone with a base diameter of 7 inches

• a right cylinder with a diameter of 7 inches

• a right cone with a base radius of 7 inches

• a right cylinder with a radius of 7 inches

Which three-dimensional figure will result when a rectangle 6 inches long and 5 inches wide is continuously rotated about the longer side?

• a rectangular prism with a length of 6 inches, width of 6 inches, and height of 5 inches

• a rectangular prism with a length of 6 inches, width of 5 inches, and height of 5 inches

• a cylinder with a radius of 5 inches and a height of 6 inches

• a cylinder with a radius of 6 inches and a height of 5 inches

Tags

CCSS.HSG.GMD.A.3