logo
Cross Section Practice (non Polyhedra)
 MathBitsNotebook.com

Topical Outline | JrMath Outline | MathBits' Teacher Resources

Terms of Use    Contact Person: Donna Roberts
divider
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.
The area of the base of a cone is 24 sq. cm. and its height is 16 cm. What is the area of a cross section parallel to the base and 4 cm. from the vertex?
Choose:
 
4 cu. cm.
6 cu. cm.
 
1½ cu. cm.
4½ cu. cm.



4.
A hot water pipeline in Iceland is composed of sections of right circular cylinder pipe. When the pipe is cut perpendicular to its base, the cross section has a diameter of 90 cm.
a) What is the area of the cross section, to the nearest tenth of a square centimeter?
Choose:
 
282.7
3854.3
 
25446.9
6361.7
pipeline

Note
1 square meter = 10,000 square centimeters

 

 

 b) How many cubic meters of water can be contained in 35 meters of pipe?
Choose:
 
24.5 cu. m.
 223 cu. m. 22.3 cu. m. 2230 cu. m.



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.
A right circular cylinder has a height of 30 units and a radius of 5 units.
a) Find the area of a cross section parallel to the base. Express answer to the nearest tenth of a square unit.
Choose:
 
31.4 square units
78.5 square units
 
235.6 square units
742.5 square units

 
b) Find the area of a cross section through the center of the cylinder, perpendicular to the base.
Choose:
 
150 square units
2355 square units
 
300 square units
1500 square units



7.
A right circular cylinder is cut out of a right rectangular prism. The prism measures 6 in. by 5 inches by 15 inches. The radius of the cylinder is 2 inches. If the remaining solid is sliced parallel to its base,
a) what is the area of that cross section, to the nearest tenth of a square inch?
Choose:
 
17.4 sq. in.
12.6 sq. in.
 
42.6 sq. in.
16.5 sq. in.
prismcylinder
 
b) what is the volume of the structure after the cut out, to the nearest tenth of a cubic inch?
Choose:
 
450.0 cubic inches
188.5 cubic inches
 
638.5 cubic inches
261.5 cubic inches



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 hemisphere of radius 3.5 cm. is sliced vertically through its center.
What is the area of the cross section obtained by the slice, to the nearest tenth of a centimeter?
Choose:
 
5.5
9.6
19.2
11.0
henisphereblue

 

 

10.
 A sphere has a radius of 5 units. The sphere is sliced 3 units below its center. What is the area of the cross section obtained from this slice, to the nearest tenth of a square unit?

Choose:
 
12.6 sq. units
402.1 sq. units
 
50.3 sq. units
804.2 sq. units
sphereblue2

 

divider

NOTE: The re-posting of materials (in part or whole) from this site to the Internet is copyright violation
 and is not considered "fair use" for educators. Please read the "Terms of Use".