Grade 10 - Math - LO.5 - Apply volume formulas (pyramid, cones, spheres, prisms)

 

We have in LO.5 Math G10

First: the Concepts

-Area

-Volume

-Composite figures

Second: the References

Math Connections 2b 5.3-5.4

Third: the Videos links

Fourth: Skills

-Derive the formulas of areas and volumes

-Determine area and volume of different shapes and figures

-Determine volume of a composite figures

Fifth: the materials as PPT., DOCX., and PDF

In the Drive from this link

Few Notes:

    What is Volume?

In math, volume can be defined as the 3-dimensional space enclosed by a boundary or occupied by an object.  

Here, the blocks and books take up space. 

    Finding the volume of an object can help us to determine the amount required to fill that object, like the amount of water needed to fill a bottle, an aquarium or a water tank. 

    The volume of an object is measured in cubic units such as cubic centimeters, cubic inch, cubic foot, cubic meter, etc. Here, for example, the volume of the cuboid or rectangular prism, with unit cubes has been determined in cubic units.

The volume of basic solid geometric shapes like cubes and rectangular prisms can be determined using formulas.  

Here’s the list of the formulas for determining the volume of 3-D shapes.

Geometric Shape Name:	Geometric Shape:	Volume Formula:
Cube		Volume = a³  , where a is length of each side.
Rectangular Prism		Volume = l × w × h , where l is length, w is width and h is height.
Sphere		Volume = 4/3 πr³ , where r is the radius.
Cylinder		Volume = πr²h , where r is the radius and h is the height.
Cone		Volume = 1/3 πr²h , where r is the radius and h is the height.

Fun Facts 1. Another way of measuring the volume of an object is to completely submerge the object in the water and then, measure the volume of water displaced by the object. The volume of the object is the amount of water displaced.

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