Question

OABC is a regular tetrahedron of unit edge then its volume is

Answer 1

Answer:

a^3/6 root 3

Step-by-step explanation:

Answer 2

The volume of a regular tetrahedron with unit edge is approximately 0.12 units.

• The volume of tetrahedron with edge 'a' units is given by

                     $V=\frac{a^{3}}{6\sqrt{2}}cubicunits$

• We have a tetrahedron of unit edge

                     a = 1 unit

                    $V=\frac{1^{3}}{6\sqrt{2}}\\V=\frac{1}{6\sqrt{2}}\\V=\frac{1}{6(1.414)}\\V=\frac{1}{8.484}\\V=0.1178$

                      V≅0.12 units

∴ Regular tetrahedron OABC with unit edge has a volume of 0.12 units approximately.