# Properties of 3-D Shapes

## Presentation on theme: "Properties of 3-D Shapes"— Presentation transcript:

Properties of 3-D Shapes
Cuboid Cube Prism Triangular Prism Hexagonal Prism Cylinder Cone Sphere Square-Based Pyramid Tetrahedron Octahedron Dodecahedron Icosahedron

Cuboid Key Feature Six faces which are all rectangles. Faces 6 Corners
8 Edges 12 Planes of Symmetry? If the cuboid has no square faces then it has ... three. If two opposite faces are square then it has ... five. Is a Cuboid a Prism? Yes, because it has a rectangular cross-section throughout its length.

Cube Key Feature Six faces which are all squares. Faces 6 Corners 8
Edges 12 Planes of Symmetry? Nine Is a Cube a Prism? Yes, because it has a square cross-section throughout its length.

Prism Key Feature The shape of its cross-section is the same throughout its length. Faces, Corners, Edges? It depends what sort of prism it is. Planes of Symmetry? It depends what sort of prism it is. Examples of prisms include triangular prism, hexagonal prism, cuboid, cube and cylinder.

Triangular Prism Key Feature A prism with a triangular cross-section.
Faces 5 Corners 6 Edges 9 Planes of Symmetry? If the triangle is equilateral then it has ... four. If the triangle is isosceles then it has ... two. If the triangle is scalene then it has ... one.

Hexagonal Prism Key Feature A prism with a hexagonal cross-section.
Faces 8 Corners 12 Edges 18 Planes of Symmetry? If it’s a regular hexagon then it has seven.

Cylinder Key Feature A prism with a circular cross-section.
Faces, Corners and Edges The normal definitions of faces, corners and edges are not appropriate for a cylinder. Planes of Symmetry? Infinite

Cone Key Feature The point of the cone is directly above the centre of the circular base. Faces, Corners and Edges The normal definitions of faces, corners and edges are not appropriate for a cone. Planes of Symmetry? Infinite

Sphere Key Feature Every point on the surface of the sphere is the same distance from the centre. Faces, Edges and Corners The normal definitions of faces, corners and edges are not appropriate for a sphere Planes of Symmetry? Infinite

Square-Based Pyramid Key Feature Faces 5
A shape with a square base and triangular sides that meet at a point. Corners 5 Edges 8 Planes of Symmetry? Four

Tetrahedron Key Feature
Four faces which are all equilateral triangles. Faces 4 Corners 4 Edges 6 Planes of Symmetry? Six

Octahedron Key Feature
Eight faces which are all equilateral triangles. Faces 8 Corners 6 Edges 12 Planes of Symmetry? Nine

Dodecahedron Key Feature Twelve faces which are all regular pentagons.
12 Corners 20 Edges 30 Planes of Symmetry? Fifteen

Icosahedron Key Feature
Twenty faces which are all equilateral triangles. Faces 20 Corners 12 Edges 30 Planes of Symmetry? Fifteen

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