Grade 5 Three Dimensional Objects and Nets

2D Shapes: These are flat shapes that have only two dimensions: length and width (or breadth). Examples: square, circle, triangle. They can be drawn on a piece of paper.

3D Objects (Solid Shapes): These are objects that have three dimensions: length, width, and height (or depth). They occupy space. Examples: a box, a ball, a can.

In the Real World: Most objects around us are 3D!

Faces: These are the flat surfaces of a 3D object. For a cuboid or cube, the faces are rectangles or squares.

Edges: These are the lines where two faces meet. Think of the 'seams' or 'folds' of the shape.

Vertices: These are the points where three or more edges meet. These are the 'corners' of the shape.

Example (Cube): A cube has 6 faces (squares), 12 edges, and 8 vertices.

Cuboid: A 3D object with 6 rectangular faces. Opposite faces are identical. Examples: a brick, a book, a rectangular box.
It has 6 faces, 12 edges, and 8 vertices.

Cube: A special cuboid where all 6 faces are identical squares. All edges are equal in length. Examples: a dice, a sugar cube, a Rubik's cube.
It also has 6 faces, 12 edges, and 8 vertices.

Cylinder: A 3D object with two identical circular faces (bases) and one curved surface. Examples: a can, a pipe, a drum.
It has 3 faces (2 flat, 1 curved), 2 edges (where the curved surface meets the bases), and 0 vertices.

Cone: A 3D object with one circular face (base) and one curved surface that tapers to a single point (vertex). Examples: an ice cream cone, a party hat, a traffic cone.
It has 2 faces (1 flat, 1 curved), 1 edge (the base circle), and 1 vertex (the apex).

Sphere: A perfectly round 3D object where every point on the surface is the same distance from the center. Examples: a ball, a globe, a marble.
It has 1 curved face, 0 edges, and 0 vertices.

Definition: A net is a 2D pattern that can be folded to form a 3D object. It shows all the faces of the 3D object laid out flat.

Visualizing: Imagine unfolding a cardboard box completely flat. The shape you get is the net of that box (a cuboid).

Usefulness: Nets help us understand the surface area of 3D objects and how their faces connect.

Cube Net: A cube has 6 square faces. A net of a cube is a pattern of 6 squares connected in a way that they can be folded to form a cube.

Common Net: One common net looks like a cross shape.

Diagram: (See the Hero SVG for a visual representation of this net). Imagine folding the squares upwards and the top/bottom squares to close the shape.

Cuboid Net: A cuboid has 6 rectangular faces. Opposite faces are identical rectangles. A net of a cuboid is a pattern of these rectangles connected so they can be folded to form a cuboid.

Common Net: One common net looks similar to the cube net, but with rectangles of different sizes.

Diagram: Imagine a central column of four rectangles (the sides), with one rectangle attached to the top and one to the bottom (the top and base).