Difference of Cubes

Requires a Wolfram Notebook System

Interact on desktop, mobile and cloud with the free Wolfram CDF Player or other Wolfram Language products.

Requires a Wolfram Notebook System

Edit on desktop, mobile and cloud with any Wolfram Language product.

If a cube is put into the corner of a larger cube, the region between them can be split up into three boxes of the same width. That region can also be split up into three congruent truncated pyramids (frustums). If the inside cube is put into the middle of the larger cube, the region between them can be split up into six congruent square frustums.

[more]

The volume of a frustum is , where is the height and and are the areas of the base and top.

[less]

Contributed by: George Beck (September 2007)
Open content licensed under CC BY-NC-SA


Details


Snapshots



Feedback (field required)
Email (field required) Name
Occupation Organization
Note: Your message & contact information may be shared with the author of any specific Demonstration for which you give feedback.
Send