Find the volume of a regular tetrahedron with an edge equal to 8 cm.
| September 4, 2021 | education
To solve this problem, recall the formula for the volume of a correct tetrahedron. The volume of a regular tetrahedron is equal to the product of the square of its edge by √2 divided by 12. S = a ^ 3 * √2 / 12. Knowing that the edge of the tetrahedron is 8 cm, we calculate the area.
S = 8 ^ 3 * √2 / 12 = 8 * 8 * 8 * √2 / 12 = 512 * √2 / 12 = 128√2 / 3 cubic centimeters.
Answer: 128√2 / 3 cubic centimeters.
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