An octahedron.
You are a triangular based pyramid (tetahedron) with 4 faces, 6 edges and 4 vertices.
A cube always has six congruent faces and eight vertices.
A tetrahedron, or triangular pyramid, has four congruent equilateral triangles as its faces. Each face is an equilateral triangle, and the tetrahedron is a three-dimensional shape with four vertices and six edges. This symmetry gives the tetrahedron its unique geometric properties.
A tetrahedral prism is a three-dimensional geometric shape that has two congruent triangular bases and four congruent lateral faces that are in the shape of triangles. The lateral faces connect the corresponding vertices of the two triangular bases, forming a solid with six faces, eight edges, and four vertices.
The Platonic solid known as an octahedron would fit the given description
octahedron
You are a triangular based pyramid (tetahedron) with 4 faces, 6 edges and 4 vertices.
...CUBE hAS 6 CONGRuent faceS ,8 vertices and 12 EDGES
A cube always has six congruent faces and eight vertices.
Isosceles TetrahedronA solid with four faces is a tetrahedron. Each of the faces is a triangle. If all the triangles are congruent, you have an isosceles tetrahedron.
They can have faces which are triangles, quadrilaterals, pentagons, hexagons or heptagons. It has 8 faces and can have 6 to 12 vertices.
A tetrahedron, or triangular pyramid, has four congruent equilateral triangles as its faces. Each face is an equilateral triangle, and the tetrahedron is a three-dimensional shape with four vertices and six edges. This symmetry gives the tetrahedron its unique geometric properties.
Icosahedron
A tetrahedral prism is a three-dimensional geometric shape that has two congruent triangular bases and four congruent lateral faces that are in the shape of triangles. The lateral faces connect the corresponding vertices of the two triangular bases, forming a solid with six faces, eight edges, and four vertices.
The Platonic solid known as an octahedron would fit the given description
that is called if I'm not mistaken a platonic solid. there are only five of them in the third dimension: quadrahedron - 4 triangles, 4 vertices (my personal favorite) cube - 6 squares, 8 vertices octahedron - 8 triangles, 6 vertices dodecahedron - 12 pentagons, 20 vertices icosahedron - 20 triangles, 12 vertices if you would like to know what they look like Google it
Icosahedron are a shape with 20 faces, 30 edges and 12 vertices. All the faces are triangles.