Name __________________________ Class ______________ Date ___________
14-1Practice Three-Dimensional Figures and Cross Sections
1. Complete the table:
Solid figure
Number
of faces
Number
of edges
Number
of
vertices
Shape of
bases
Shape of
other
faces
Name of
solid
2. Euler’s Formula for polyhedron is: F + V = E + 2. Verify this with two of the solids above.
Identify the three-dimensional object generated by rotating a two-dimensional shape as described.
3. Rotate a right triangle around a line adjacent to the right angle as shown below.
4. Rotate a square around a line that runs along one side of the square.
Verify Euler’s Formula for each polyhedron. Then draw a net for the figure.
5.
6.
Identify each cross section.
7.
8.
9.
10. A cone is intersected by a plane perpendicular to the base.
11. A sphere is intersected by a plane.
12. A square pyramid is intersected by a plane perpendicular to the base and passing through the vertex.
10. What is the cross section formed by a plane containing a vertical line of symmetry for the hexagonal
prism?
11. What is the cross section formed by a plane that is parallel to the base of the figure?
Identify the 3D object generated by rotating the 2D shape about line l.
12.
13.
Describe each cross section.
14.
16.
15.