Find the volume and total surface area of a regular tetrahedron whose measure of one edge is 10cm

For a tetrahedron, the total surface area is expressed as:

SA = √3 x a²

Substituting the given value,

SA = √3 x (10 cm) ² = 173.20 cm²

The volume is expressed as,

V = (√2 / 12) x a³

Substituting the given values,

V = (√2 / 12) x (10 cm) ³ = 117.85 cm³

The total surface area of a regular tetrahedron is calculated through the equation,

SA = (sqrt 3) x a²

Substituting the known value,

SA = (sqrt 3) x (10 cm) ² = 173.20 cm²

Its volume is obtained by,

V = ((sqrt 2) / 12) x a³

V = ((sqrt 2) / 12) x (10 cm) ³ = 117.85 cm³

Thus, its surface area and volume are 173.20 cm² and 117.85 cm³, respectively.