Question

If we have a polyhedron, which of the following is true about its faces? Explain.

(1) It has 3 triangular faces.
(2) It has 4 triangular faces.
(3) It has 1 square and 4 triangular faces.​

Answer 1

(1) This is not true. The minimum number of faces a polyhedron can have is 4. Hence 3 triangles cannot be the faces of a polyhedron.

(2) This is true. A polyhedron with 4 triangles as faces is known as a regular tetrahedron.

(3) This is true. A polyhedron with 1 square and 4 triangle faces is known as a square pyramid.

Hope it helps.....

Answer 2

ⒽⒺⓎ

ⒽⒺⓇⒺ ⒾⓈ ⓎⓄⓊⓇ ⒶⓃⓈⓌⒺⓇ

ⓆⓊⒺⓈⓉⒾⓄⓃ:

If we have a polyhedron, which of the following is true about its faces? Explain.

(1) It has 3 triangular faces.

ⒶⓃⓈⓌⒺⓇ:--

This is not true. The minimum number of faces a polyhedron can have is 4. Hence 3 triangle cannot be the faces of a polyhedron.

(2) It has 4 triangular faces.

ⒶⓃⓈⓌⒺⓇ:--

This is true. A polyhedron with 4 triangle as faces is known as a regular tetrahedron.

(3) It has 1 square and 4 triangular faces.

ⒶⓃⓈⓌⒺⓇ:--

This is true. A polyhedron with 1 square and 4 triangle faces is known as a square pyramid.

ⒽⓄⓅⒺ ⒾⓉ ⒽⒺⓁⓅⓈ

ⒻⓄⒾⓁⓁⓄⓌ Ⓜ️Ⓔ