A regular tetrahedron is a pyramid with four faces, each of which is an equilateral triangle.

Let $V$ be the volume of a regular tetrahedron whose sides each have length $1$. What is the exact value of $V^2$ ?
Question:
A regular tetrahedron is a pyramid with four faces, each of which is an equilateral triangle.

Let $V$ be the volume of a regular tetrahedron whose sides each have length $1$. What is the exact value of $V^2$ ?
Answer:
Let's think step by step.

user
\frac 1{72}
A regular tetrahedron is a pyramid with four faces, each of which is an equilateral triangle.

Let $V$ be the volume of a regular tetrahedron whose sides each have length $1$. What is the exact value of $V^2$ ?
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