 Cross Section Practice Terms of Use    Contact Person: Donna Roberts  Directions: Read carefully and choose the best answer.

1.
Given a right circular cone. 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? Choose:    3.
Of the choices "square", "rectangle" and "triangle", which of the following are possible cross sections obtained when slicing a cube? 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? 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? 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? 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? 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!) 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. 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".