Practice Page
Directions: Read carefully and choose the best answer.

1.
Given a right circular cone.
crossguy1
  
a) What is the shape of a cross section parallel to the base of the cone?
Choose:
 
triangle
rectangle
 
circle
oval
  
b) What is the shape of a cross section perpendicular to the base of the cone?
Choose:
 
triangle
rectangle
 
circle
oval



2.
A right square pyramid sits atop a right circular cylinder as shown at the right. A sword will make a vertical slice through both figures starting at the vertex of the pyramid. Which of the following shapes represents the cross section?
cstricyln
Choose:
 
cy1
cy2
 cy3 cy4



3.
Of the choices "square", "rectangle" and "triangle", which of the following are possible cross sections obtained when slicing a cube?
crossguy2
Choose:
 
square only
 
square and rectangle only
 
square and triangle only
 
square, rectangle and triangle



4.
Given a right triangular prism as shown at the right. A cross section is made parallel to the bases. Which of the following statements is true regarding the area of the cross section and the area of the base?
crossFour
 
Choose:
 
The area of the cross section is less than the area of the base.
 
The area of the cross section is greater than the area of the base.
  The area of the cross section is equal to the area of the base.
  There is insufficient data to determine these area relationships.



5.
Given a right circular cylinder with a radius of 8 inches and a height of 20 inches. Which of the following choices is NOT a possible cross section of this cylinder?
crossThree
Choose:
 
circle
 
oval
  square
  rectangle



6.
Which of the following statements is FALSE regarding possible cross sections when slicing a right square pyramid?
Choose:
      A slice perpendicular to the base yields a triangle.
      A slice perpendicular to the base yields a square.
      A slice parallel to the base yields a square.
      A non-perpendicular slice intersecting the base yields a triangle.



7.
Given a cube. A cross section is sliced diagonally through the center of the cube, as shown. Which of the following statements is true regarding the area of the cross section and the area of the cube's face?
crossFive
Choose:
 
The area of the cross section equals the area of the cube's face.
 
The area of the cross section is larger than the area of the cube's face.
 
The area of the cross section is smaller than the area of the cube's face.
 
There is insufficient data to determine the relationship between the area of the cross section and the area of the cube's face.



8.
A plane intersects a sphere. (The plane is not tangent to the sphere.) Which of the following statements is true regarding the cross section formed by the plane?
crossSix
Choose:
 
The cross section is always a circle.
 
The cross section is sometimes a circle.
  The cross section is always an oval.
  The cross section is sometimes a square.



9.
 A solid has a triangle as a cross section. Which of the following solids could NOT have a triangle as a cross section?
Choose:
 
Cube
 
Square pyramid
  Triangular prism
  Rectangular prism
  All of the above have triangular cross sections.



10.
A cube and a right square pyramid are sitting on a flat surface. Which of the following statements are true?
(Check all that apply, and hit SUBMIT!)		 crossTwo  
 
It is possible to slice . . .
a triangular cross section from the cube.

a trapezoidal cross section from the pyramid.

a rectangular cross section (not a square) from the pyramid.

a hexagonal cross section from the cube.

a square cross section from the pyramid.

a hexagonal cross section from both the pyramid and the cube.

a square cross section from both the pyramid and the cube.

        

 

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