Give the formula to get Volume, height and total surface area of a reg

1.	Give the formula to get Volume, height and total surface area of a regular tetrahedron.
Answer» A regular tetrahedron is a solid figure whose all edges are equal and, all four faces including the base are congruent equilateral triangles. ♦ Height =\(\sqrt{\frac{2}{3}}\)edge ♦ Slant height = \(\sqrt{\frac{3}{2}}\)edge ♦ Lateral surface area =\(\frac{3\sqrt{3}}{4}(edge)^2\) ♦ Total surface area = \(\sqrt{3}\) (edge)² ♦ Volume = \(\frac{\sqrt{2}}{12}\) (edge)³ .

Give the formula to get Volume, height and total surface area of a regular tetrahedron.

Answer»

A regular tetrahedron is a solid figure whose all edges are equal and, all four faces including the base are congruent equilateral triangles.

♦ Height =\(\sqrt{\frac{2}{3}}\)edge

♦ Slant height = \(\sqrt{\frac{3}{2}}\)edge

♦ Lateral surface area =\(\frac{3\sqrt{3}}{4}(edge)^2\)

♦ Total surface area = \(\sqrt{3}\) (edge)²

♦ Volume = \(\frac{\sqrt{2}}{12}\) (edge)³ .