**ERIC Number:**EJ875502

**Record Type:**Journal

**Publication Date:**2006

**Pages:**4

**Abstractor:**As Provided

**Reference Count:**0

**ISBN:**N/A

**ISSN:**ISSN-0740-8404

Packing Infinite Number of Cubes in a Finite Volume Box

Yao, Haishen; Wajngurt, Clara

AMATYC Review, v28 n1 p32-35 Fall 2006

Packing an infinite number of cubes into a box of finite volume is the focus of this article. The results and diagrams suggest two ways of packing these cubes. Specifically suppose an infinite number of cubes; the side length of the first one is 1; the side length of the second one is 1/2 , and the side length of the nth one is 1/n. Let n approach infinity so that an infinite number of cubes is obtained. Note that the total volume of these cubes is finite and the purpose is to determine how to pack these infinite cubes into a finite dimensional box.

Descriptors: College Mathematics, Two Year Colleges, Mathematics Instruction, Mathematical Concepts, Algebra

American Mathematical Association of Two-Year Colleges. 5983 Macon Cove, Memphis, TN 38134. Tel: 901-333-4643; Fax: 901-333-4651; e-mail: amatyc@amatyc.org; Web site: http://www.amatyc.org

**Publication Type:**Journal Articles; Reports - Descriptive

**Education Level:**Two Year Colleges

**Audience:**N/A

**Language:**English

**Sponsor:**N/A

**Authoring Institution:**N/A