Identifying 3D shapes and rotating solids

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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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

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

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

• pyramid

• rectangular prism

• cone

• cylinder

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

• Cone

• Pyramid

• Prism

• Sphere

Triangle ABC, with vertices at A(0,0), B(3,5), and C(0,5) is graphed on the set of axes above. Which figure is formed when triangle ABC is rotated continuously about BC?

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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

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

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