math
3rd Grade - Spatial geometry

3rd Grade lesson

5 - Spatial geometry


Solids

Solids are particular shapes that lie in space. A solid has vertices, edges, and sides. For each solid, you can count its number of vertices, edges, and sides.

Vertices
Edges
Sides
vertices
edges
sides


Examples of solids

The cube
The rectangular prism
The prism
cube
rectangular prism
prism
A cube is made of squares. A cube always has 6 sides, 8 vertices, and 12 edges.
A rectangular prism is made of squares or rectangles. It has as many sides, vertices, and edges as a cube.
A prism is made of 2 identical shapes linked together by segments. If the prism has a right angle we say it is a regular prism. On the drawing, the prism has triangular basis.


The pyramid
The cone
The cylinder
pyramid
cone
cylinder
A pyramid is made of a geometric form (triangle, square, hexagon,...) whose vertices are linked up to the same point. The pyramid above is a pyramid with rectangular basis.
A cone is made of a circle whose line is linked to one point in space.
A cylinder is made of two circles linked together by segments.


Pattern of a solid

The pattern of a solid in space, is the drawing you can create on a sheet which will enable you, if you fold it, to form the solid.

Examples of patterns :

Pattern of a cube
Pattern of a rectangular prism
Pattern of a prism
cube
rectangular prism
prism


Pattern of a pyramid
Pattern of a cone
Pattern of a cylinder
pyramid
cone
cylinder




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Spatial geometry

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