
Directions: Read carefully and choose the best answer.
1. 
What 3D solid is formed when this rectangle is rotated about the vertical line, as shown at the right? 

Choose:


2. 
Which 2D shape could be revolved about the vertical line to create the 3D solid shown at the right?




3. 
Which 3D solid is created when the rectangle shown at the right is rotated about the horizontal line? 


Choose:


4. 
Which 2D shape could be revolved about the vertical line to create the 3D vase shown at the right?
Assume the vase is open at the top and closed at the bottom. 

Choose: 


5. 
A 3D solid is formed by rotating the rectangle shown at the right about the vertical line. The dimensions of the rectangle are stated in inches. What is the volume of the solid formed by this rotation, in cubic inches? 


Choose: 




A rectangle and a right triangle, as shown at the right, are rotated about the vertical line. What is the volume of the solid formed by this rotation?



Choose: 



7. 
The figure shown at the right was the result of a 2D figure revolved about a line.
Which of the following figures, when rotated about the line, could NOT produce this 3D shape?






8. 
The 2D figure at the right is to be revolved about the vertical line. Which of the following descriptions best describes the 3D solid formed by the rotation? 



9. 
The right triangle shown at the right is revolved about its hypotenuse. Find the volume of the solid formed by this rotation, in cubic units.
Hint: Find the altitude of the triangle drawn to the hypotenuse using the area of the triangle. 



10. 
Given: the 2D figure at the right is a rectangle, and line a is perpendicular to line b.
Which of the following statements are true regarding this diagram?
(Check all that apply, and hit SUBMIT!) 



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