fancy shape

Geometry Level 2

You have a shape. You know that one of its edge lengths is 1 (don't worry about units). The shape that you have happens to be none other than the mighty tesseract. What is the hypervolume of your hypothetically imaginary shape?

Note: Hypervolume is just the volume of a 4D shape.


The answer is 1.

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1 solution

Ivan Miller
Oct 9, 2019

A tesseract is simply a 4D cube like this: [https://commons.wikimedia.org/wiki/File:Tesseract_Mark.svg)

A cube's area formula is s i d e l e n g t h d i m e n s i o n side length^{dimension} . In this case the formula is 1 4 1^{4} . 1 × 1 × 1 × 1 = 1 1 \times 1 \times 1 \times 1 =1

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