Here, students figure out how to envision solid shapes in various dimensions. This chapter also manages to see 3-D shapes, Mapping the space around us, and finding out faces, edges, and vertices. The chapter likewise talks about Euler's equation, which expresses that F + V – E = 2, where F denotes Faces, V is Vertices and E is Edges, alongside its application.
Two Dimensional Object
A shape with only two dimensions (length and width) and no thickness is called a two-dimensional shape.
An area is the measurement of space enclosed by a geometric figure.
Volume is the measurement of total space occupied by a solid.
Three Dimensional Objects - Solids
Three-dimensional shapes are the ones that can be measured in 3 directions.
Formation of Solid Solids
A 2-dimensional figure is formed by stacking solids shapes.
Solids and Their Classification
Hexagon: It is a polygon with 6 sides. Non-Polyhedrons: Solids with curved faces. Polyhedrons: A solid in three dimensions with flat polygonal faces, straight edges and sharp corners or vertices. Cuboid: It is a solid shape bounded by six rectangular plane regions. Triangular Prism: It is a polyhedron with two triangular bases parallel to each other. Hexagonal Prism: It is a polyhedron with two hexagonal bases parallel to each other. Solid cylinder can be shaped in two different ways: (i) By circularly stacking rectangles. (ii) By stacking many circles linearly Sphere: Spheres are formed by circularly stacking circles. Cone: Cones are formed by stacking triangles which are right-angled, circularly with an edge that is right-angled at the centre.
Formation of Hollow SolidsHollow Solids are obtained by joining two-dimensional figures.
Hollow Cuboid: This is formed by joining six rectangles in a specific manner. Hollow triangular prism: This is formed by joining two triangles and three rectangles in a specific manner. Hollow Hexagonal Prism::This is formed by joining two hexagons and six rectangles. Hollow Cylinder: A cylinder made by rotating a rectangle around either its length or breadth. Hollow Cone: Here, a circle and a curved sector of a circle are joined together. Pyramid Here, all side faces are triangular, and the base is shaped like any polygon.
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