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A tetrahedron is a triangular pyramid with 4 congruent faces. If the area of one of the faces is 21 m² and the height of the tetrahedron is 6 m, what is the volume of the figure in cubic meters?​

User Jon Kruger
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Answer:

The volume of a tetrahedron can be found using the formula:

V = (1/3) * A * h

where A is the area of one of the faces of the tetrahedron, h is the height of the tetrahedron, and V is the volume of the tetrahedron.

In this case, we are given that the area of one of the faces is 21 m² and the height of the tetrahedron is 6 m. Substituting these values into the formula, we get:

V = (1/3) * 21 m² * 6 m

V = 42 m³

Therefore, the volume of the tetrahedron is 42 cubic meters.

User Nik Markin
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