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   GRE Geometry Guide
Chapter 1: Angles and Lines
Chapter 2: Intersecting Angles
Chapter 3 Triangles
Chapter 4: Circles
Chapter 5: Perimeters & Areas
Chapter 6: Solids
Chapter 7: Coordinate Geometry

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   Geometry Chapter 6: Solids
Table of Contents  
 

There are two solids that interest us in preparing for the test. They are the rectangular solid (a box) and a circular cylinder. A cube is a special rectangular box whose sides are all equal. The volume of a box is the product of its three sides: V = bwh (base × width × height) . The volume of a circular cylinder is the area of the base times the height: V = rh (base circle × height).

The surface area of a cube is 6 × (area of one side) since all six sides have the same area. The surface area of a cylinder is composed of the top and bottom circular areas and the area around the cylinder. The top and bottom are simply 2 × × r . The area of the side is 2 × × radius × height.

Box



V = bhw

 

Cylinder



V =rh



Example 1 (easy)

 


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  Contents of Geometry Chapter: Table of Contents
Chapter 1: Angles and Lines
  Chapter 2: Intersecting Angles
  Chapter 3: Triangles
  Chapter 4: Circles
  Chapter 5: Perimeters & Areas
  Chapter 6: Solids
  Chapter 7:
Coordinate Geometry
 
 Chapter 7: Coordinate Geometry