How to Calculate the Volume of a Regular Tetrahedron

Step-by-Step Guide

1. 1

   Step 1: Before getting started

     That is the formula for the volume of a regular tetrahedron. ,  In this case, a is the side length.  Replace a with the given value.
   
   Look at the picture for help. , Example:
   Consider V=a362{\displaystyle V={\frac {a^{3}}{6{\sqrt {2}}}}}, given that a=6{\displaystyle a=6}.
   
   Then, you can see that V=6362=21662{\displaystyle V={\frac {6^{3}}{6{\sqrt {2}}}}={\frac {216}{6{\sqrt {2}}}}} , Note that √2 is similar to
   1.41.
   
   Example: 6∗1.41=8.46{\displaystyle 6*1.41=8.46} This gives you V=21662=2168.46{\displaystyle V={\frac {216}{6{\sqrt {2}}}}={\frac {216}{8.46}}} , That's your volume! Example:
   V=2168.46{\displaystyle V={\frac {216}{8.46}}}, which gives you roughly
   25.5319{\displaystyle
   25.5319}.
2. 2

   Step 2: write down the formula V=a362{\displaystyle V={\frac {a^{3}}{6{\sqrt {2}}}}}.

3. 3

   Step 3: Find the value for a.

4. 4

   Step 4: Using the order of operations

5. 5

   Step 5: cube a.

6. 6

   Step 6: Multiply 6 by √2.

7. 7

   Step 7: Divide the first product by the second product.

Detailed Guide

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