Three Dimensional Shapes

In this section, we will discuss about 3D three dimensional shapes.

Definition:

Example: Cuboid, cube, cone, cylinder, sphere, pyramid, rectangle pyramid, square pyramid, triangular prism, tetrahedron, hexagonal pyramid etc. are examples of three dimensional shapes.

It has six rectangles and each rectangle is called the face. The opposite faces of a cuboid are identical.

1. A cuboid has six faces.

ABCD, EFGH, ADGE, BCHF, ABEF and DCGH are six faces of cuboid.   2. A cuboid has eight vertices. A, B, C, D, E, F, G, and H are vertices of the cuboid.    3. A cuboid has twelve edges. AB, AE, EF, BF, BC, CH, HF, DC, GH, DG, AD and GE are twelve edges of cuboid.

              length = breadth = height 

1. A cube has eight vertices. Here A, B, C, D, E, F, G, and H are vertices of the cube.  

2. A cube has six faces. ABCD, EFGH, ACGE, BDHF, ABGH and CDEF are six faces of cube.

3. A cube has twelve edges. AB, AG, AC, EF, BH, BD, DF, HF, DC, GH, EC, and GE are twelve edges of cube.

1. A cone has one vertex. V is the vertex of the cone.
2. A cone has one Flat face and one curved face.
3. A cone has one curved edge.
                                                 

1. A cylinder has no vertex.
2. A cylinder has two curved edges, C1 and C2 are curved edges of the cylinder.
3. A cylinder has two flat faces.
  

1. A sphere has no vertex.
2. A sphere has no edge.
3. A sphere has a curved surface.

1. A  pyramid has 6 edge. VA, VB, VC, AB, AC and BC are 6 edges of pyramid.

2. A pyramid has 4 faces. VAB, VAC, VBC and ABC are 4 faces are pyramid. 3. A pyramid has 4 vertices. V, A, B and C are 4 vertices of the pyramid.

1. A rectangle pyramid has 5 vertices. In figure VABCD is rectangle pyramid, whose vertex is V. V, A, B, C,  and D are vertices of the pyramid.

2. A rectangle pyramid has 8 edge.VA, VB, VC, VD, AB, BC, CD and DA are edges of the pyramid.

3. A rectangle pyramid has 5 faces. VAB, VAD, VDC, VCB and ABCD are 5 faces of the pyramid.
Faces VAB, VAD, VDC and VCB are triangular and face ABCD is rectangular.

1. A square pyramid has 5 vertices. In figure VABCD is square pyramid, whose vertex is V. V, A, B, C, and D  are vertices of the pyramid.

2. A square pyramid has 8 edge.VA, VB, VC, VD, AB, BC, CD and DA are edges of the pyramid.

3. A square pyramid has 5 faces. VAB, VAD, VDC,VCB and ABCD are 5 faces of the pyramid.
Faces VAB, VAD, VDC and VCB are triangular and face ABCD is square.

1. A triangular prism has 5 faces. ABCD, AFB, DEC, ADEF, and BCEF are 5 faces of the triangular prism. 

The top and bottom faces are triangular and rest faces are rectangular.

2. A triangular prism has 9 edge. AB, BC, CD, DA, DE, CE, AF, BF and CF are 9 edges of prism.

3. A triangular prism has 6 vertices. A, B, C, D, E and F are 6 vertices.

1. A tetrahedron has 4 triangular faces. ABC, ABD, ADC and BDC are 4 triangular faces.

2. A tetrahedron has 6 straight edges. AB, BC, AC, and AD, BD and DC are 6 edges.

3. A tetrahedron has 4 vertices. A, B, C, and D are 4 vertices.  

1. A hexagonal has seven faces. VAB, VFA, VED, VDC, VBC, VFE and VDC are 7 faces.

2. A hexagonal has twelve edges. VA, VB, VC, VF, VE, VD, FA, FE,  ED, DC, BC and AB are 12 edges.

3. A hexagonal has seven vertices. V, A, B, C, D, E and F are 7 vertices.