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Unit 14: Geometric. Volume

OBJECTIVES:

• Recognize prisms, pyramids, round bodies and regular polyhedra, and its elements.
• Find the volume of a body with a unit cube.
• Know and apply the relationship between volume and capacity (m3, kl, l dm3).
• Use the relationship between m3, dm3 and cm3.
• Calculate volumes of cuboids and cubes.
• Solve problems starting with other simpler problems.

MUST LEARN:

Prisms: geometric are two equal and parallel faces called bases, and the rest of their faces are parallelograms.

prism elements: Bases

1. : two polygons equal and parallel. The shape of the base indicates the type of prism (hexagonal, pentagonal ...).
2. lateral surfaces: are the faces that are not bases.
3. basic Edges: are the sides of the polygons of the bases. Edges
4. side: are the sides of the lateral edges that are not basic.
5. Vertices: are the points where they join the edges.

Pyramids: are geometric whose base is a polygon and whose faces either side are

triangles having a common vertex.

Elements of the pyramids:

1. Base: is a polygon either. The shape of the base indicates the pyramid
   type (hexagonal, pentagonal ...).
2. lateral surfaces: are the faces that are not the base.
3. basic Edges: are the sides of the circle of the base. Edges
4. side: are the sides of the lateral edges that are not basic.
5. base Vertices: are the vertices of the polygon base. Vertex
6. or top of the pyramid: is the point where are all the lateral edges. Bodies

round:

• Cylinder: has two circular bases and a curved surface.
• Cone: has a circular base and a curved surface.
• Sphere: only have curved surfaces.

The volume of a body: is the amount of space it occupies.

To find the volume of a cuboid or cube is taken as the unit of measure a cube and the number of cubes of each body. This link can practice this concept mentally calculating the number of "cubes" unity "is missing.

are volume units cubic meter (m3) cubic decimeter (dm3) and cubic centimeter (cm3).

1. 1 m3 = 1,000 dm3 1 dm3 = 1,000 cm3
2. 1 dm3 = 1 liter

The volume of a cuboid is equal the product of its length by its width by its height.

PRACTICE:

In the links presented below will have the opportunity to practice and reinforce the concepts used in class. Prisms

• geometric. Polyhedra, developments and sections. Polyhedra
• Learn how to calculate volumes
• volume. Activities
• Test your knowledge on volume measures ..