मराठी
Maharashtra State BoardSSC (English Medium) 6th Standard

Pyramid

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Topics

  • Definition: Pyramid
  • Properties of a Pyramid
  • Activity 1
  • Activity 2

Definition

A pyramid is a three-dimensional shape with a flat polygonal base and triangular sides that meet at a single point, called the apex. The sides are called faces or lateral faces, and they join each edge of the base to the apex.

Properties of a Pyramid

  1. The apex, face, and base are the three main components of a pyramid.
  2. The polygon base is most often in the shape of a square.
  3. The faces of the pyramid, except the base, are called lateral faces.
  4. The line segments created by two intersecting faces are called edges, and the point or corner at which three or more edges meet is called the vertex.
  5. Apex is the vertex that is opposite to the base and gives the shape to the pyramid.

Activity 1

Making a Triangular Pyramid (Tetrahedron)
Steps:

  1. Draw the Net:
    Draw a net on the card sheet that includes one triangle in the centre and three triangles attached to the sides.
  2. Cut the Net:
    Carefully cut out the shape using scissors.
  3. Fold the Triangles:
    Fold along the dotted lines of the central triangle.
  4. Join the Vertices:
    Bring the outer triangles together so that their vertices A, B, and C meet at one point.
  5. Form the Pyramid:
    Joining the triangles will result in a 3D shape known as a triangular pyramid.

Observation:
Faces: 4 (all are triangles)
Edges: 6
Vertices: 4

Conclusion:
You have created a triangular pyramid (tetrahedron) with a triangular base and three side faces that meet at the apex

Maharashtra State Board: Class 6

Activity 2

Making a Quadrangular Pyramid
Steps:

  1. Draw the Net:
    Draw a net on the card sheet with a square in the centre and four identical triangles attached to each side of the square.
  2. Cut the Net:
    Carefully cut out the entire figure.
  3. Fold the Triangles:
    Fold along the dotted lines of the square to lift each triangle.
  4. Join the Vertices:
    Bring the top points of all four triangles (vertices A, B, C, and D) together to meet at a single point.
  5. Form the Pyramid:
    You now have a 3D shape with a square base and four triangular faces — the result is a quadrangular pyramid.

Observation:
Faces: 5 (1 square base + 4 triangles)
Edges: 8
Vertices: 5
Conclusion:
You have created a quadrangular pyramid with a square base and triangular sides that meet at a sharp top point called the apex.

Shaalaa.com | Pyramid and Its Types

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Pyramid and Its Types [00:01:43]
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