A Triangular Pyramid Has Faces Edges And Vertices Class 8 Maths ...
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A triangular pyramid has …..faces, ……edges and …..vertices.Answer
Verified510k+ viewsHint: In the given question, we are supposed to find the number of faces, edges, and vertices of a triangular pyramid. We will be solving the given question using the diagram of the triangular pyramid to determine its faces, vertices, and edges.Complete step by step solution:We are asked to find the number of faces, vertices, and edges in a triangular pyramid. We will be solving the given question using the concept of geometry.A pyramid is a geometrical figure that has a base and three or more triangular surfaces which meet at the apex of the pyramid. The triangular pyramid is formed from the triangles. A triangular pyramid has a triangular base. It is also known as a tetrahedron.The diagram of the triangular pyramid is given as follows,
The faces, vertices, and edges are the three characteristics of the three-dimensional geometric figure.The face is the individual flat surface of a geometric figure. It forms the part of a boundary of a geometric figure.From the above diagram, We can see that the triangular pyramid has four individual flat surfaces. So, the triangular pyramid has 4 faces.An edge is a line where two faces meet. It is a line segment that acts as an interface between two faces. It is formed by joining two vertices of a geometric figure.From the above diagram, We can see that the triangular pyramid has 6 edges. So, the triangular pyramid has 6 edges.A vertex is a point of intersection of two or more edges. The vertices in a geometric figure are also referred to as corners.From the above diagram, We can see that the triangular pyramid has 4 vertices. So, the triangular pyramid has 4 vertices.$\therefore$ A triangular pyramid has 4 faces, 6 edges, and 4 vertices.Note: The given question can be solved alternatively as follows,From geometry, we know that an n-sided base has n+1 faces, 2n edges, and n+1 vertices. In the case of a triangular pyramid, we know that it has a triangular base. From the above, we can say that the base of a triangular base is 3-sided.Substituting the value of n = 3, we get,$\Rightarrow faces=n+1=3+1=4$$\Rightarrow edges=2n=2\times 3=6$$\Rightarrow vertices=n+1=3+1=4$Recently Updated PagesMaster Class 8 Social Science: Engaging Questions & Answers for Success
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A triangular pyramid has …..faces, ……edges and …..vertices.Answer
The faces, vertices, and edges are the three characteristics of the three-dimensional geometric figure.The face is the individual flat surface of a geometric figure. It forms the part of a boundary of a geometric figure.From the above diagram, We can see that the triangular pyramid has four individual flat surfaces. So, the triangular pyramid has 4 faces.An edge is a line where two faces meet. It is a line segment that acts as an interface between two faces. It is formed by joining two vertices of a geometric figure.From the above diagram, We can see that the triangular pyramid has 6 edges. So, the triangular pyramid has 6 edges.A vertex is a point of intersection of two or more edges. The vertices in a geometric figure are also referred to as corners.From the above diagram, We can see that the triangular pyramid has 4 vertices. So, the triangular pyramid has 4 vertices.$\therefore$ A triangular pyramid has 4 faces, 6 edges, and 4 vertices.Note: The given question can be solved alternatively as follows,From geometry, we know that an n-sided base has n+1 faces, 2n edges, and n+1 vertices. In the case of a triangular pyramid, we know that it has a triangular base. From the above, we can say that the base of a triangular base is 3-sided.Substituting the value of n = 3, we get,$\Rightarrow faces=n+1=3+1=4$$\Rightarrow edges=2n=2\times 3=6$$\Rightarrow vertices=n+1=3+1=4$Recently Updated PagesMaster Class 8 Social Science: Engaging Questions & Answers for Success
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Citizens of India can vote at the age of A 18 years class 8 social science CBSE
Full form of STD, ISD and PCO
Right to vote is a AFundamental Right BFundamental class 8 social science CBSE
What is the difference between rai and mustard see class 8 biology CBSE
Summary of the poem Where the Mind is Without Fear class 8 english CBSE
What is BLO What is the full form of BLO class 8 social science CBSE
Citizens of India can vote at the age of A 18 years class 8 social science CBSE
Full form of STD, ISD and PCO
Right to vote is a AFundamental Right BFundamental class 8 social science CBSE
What is the difference between rai and mustard see class 8 biology CBSE
Summary of the poem Where the Mind is Without Fear class 8 english CBSE
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