2/3
1/3
1/5
1/6
1/4
2/5

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The volume of a regular tetrahedron is $\frac{a^3}{6 \sqrt{2}}$ where a is our side length in this case $\sqrt{2}$ so we now have $\frac{2 \sqrt{2}}{6 \sqrt{2}}$ or $\frac{1}{3}$ .