Lesson OVERVIEW of LESSONS on Volume of PRISMS

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OVERVIEW of LESSONS on Volume of Prisms

For your convenience,  this file contains
     - the list of my lessons on volume of prisms in this site,
     - the major formulas for calculating the volume of prisms,  and
     - the list of relevant solved problems.

Examples of prisms

Figures  1a  -  1e  present the examples of prisms.




    

            Figure 1a. A cube          






  Figure 1b. A rectangular prism      



Figure 1c. A triangular prism      



Figure 1d. A quadrilatelar prism  



  Figure 1e. A hexagonal prism


Major formulas for calculating the volume of prisms


1.  Volume  V  of a cube  with the edge measure  a  is  V = a%5E3.

2.  Volume  V  of a rectangular prism  with the edge measures  u,  v  and  w  is  V = uvw%29.

3.  Volume  V  of an upright prism  is  V = S%2Ah,  where  S  is the area of the prism base and  h  is the prism height.


My lessons on volume of prisms in this site

    - Volume of prisms
under the topic  Volume, metric volume  of the section  Geometry,  and
    - Solved problems on volume of prisms
under the topic  Geometry  of the section  Word problems.

Solved problems on volume of prisms

Lesson  Volume of prisms
    - Find the volume of a cube with the edge measure of  5 cm.
    - Find the volume of a rectangular prism which has the edge measures of  8 cm,  10 cm  and  6 cm.
    - Find the volume of a triangular prism if its base is an equilateral triangle with the side measure of  4 cm  and the height of the prism is of  10 cm.
    - Find the volume of a hexagonal prism if its base is a regular hexagon with the side measure of  4 cm  and the height of the prism is of  10 cm.

Lesson  Solved problems on volume of prisms
    - Find the volume of a rectangular prism which has the edge measures of  4 cm,  5 cm  and  3 cm.
    - Find the volume of a triangular prism if its base is a right-angled triangle with the leg measures of  3 cm  and  4 cm,  and the height of the prism is of  10 cm.
    - Find the volume of a triangular prism if the side measures of the triangle at the base are of  13 cm,  14 cm  and  15 cm,  and the height of the prism is
        of  20 cm.
    - Find the volume of a triangular prism if its base is an equilateral triangle with the side measure of  6 cm  and the height of the prism is of  10 cm.
    - Find the volume of a hexagonal prism if its base is a regular hexagon with the side measure of  6 cm,  and the height of the prism is of  10 cm.


My lessons on volume of prisms and other 3D solid bodies in this site are

Lessons on volume of prisms

Volume of prisms
Solved problems on volume of prisms
Overview of lessons on volume of prisms                    

Lessons on volume of pyramids

Volume of pyramids
Solved problems on volume of pyramids
Overview of lessons on volume of pyramids

Lessons on volume of cylinders

Volume of cylinders
Solved problems on volume of cylinders
Overview of lessons on volume of cylinders                

Lessons on volume of cones

Volume of cones
Solved problems on volume of cones
Overview of lessons on volume of cones                    

Lessons on volume of spheres

Volume of spheres
Solved problems on volume of spheres
Overview of lessons on volume of spheres


To navigate over all topics/lessons of the Online Geometry Textbook use this file/link  GEOMETRY - YOUR ONLINE TEXTBOOK.

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