PAP Surface Area Review

Name the polyhedron, then find the number of faces, vertices, and edges of each polyhedron. Check your answer using Euler’s Theorem.

• Dodecahedron: 12, 20, 30
• Icosahedron: 20, 12, 30
• octahedron: 8, 6, 12
• cube: 6, 8, 12

Use the isometric dot paper and the orthographic drawing to sketch a solid.

• skip
• don't skip

Describe the cross-sectional area of the figure to the right.

• Square
• Triangle
• Pentagon
• Pyramid

Given the right prism, find the surface area if the bases are a right triangle.

• 24
• 30
• 36
• 72

Suppose the diagonal of a cube is 3√5  inches.  Find the surface area of the cube. 

• 54
• 90
• 240
• 1350

If the base of a right circular cylinder has a circumference of 10π and OA = 13, find the lateral area.

• 60π
• 50π
• 25π
• 120π 

Find surface are of the figure at the right.

• 60
• 240
• 180
• 216

A regular icosahedron…

• has 12 faces. 
  has regular rectangles as faces.
• has regular rectangles as faces.
• is a Platonic solid.     
• has 12 faces.
   is a Platonic solid. 

In a regular polyhedron,

• all vertices are the same.  all faces are regular. 
  
• the faces are made of more than one type of regular polygon.
• all faces are regular. 
• all vertices are the same.

Platonic solids are described as ______ polyhedrons.

• non regular 
• regular
• complicated
• prisms