Volume

"Volume is the quantity of three-dimensional space enclosed by some closed boundary, for example, the space that a substance  or shape occupies or contains. Volume is often quantified numerically using the SI derived unit, the cubic meter." (1) def. Wikipedia.com

Today I will show you how to find the volume of prisms.

According to the book "A Problem Solving Approach to Mathematics for Elementary School Teachers," the volume of a right rectangular prism "can be found by determining how many cubes are needed to build it as a solid. To find the volume count how many cubes cover the base and then how many layers of these cubes are used to fill the prism."

Lets take a look at the figure bellow:

 

 



* there are 8 x 4 cubes that cover the base, so a total of 32 cubes. There are 5 layers.

So, the volume of that rectangular prism is 32 x 5 = 160 cubic units

 

You may be wondering, how do I know how many cubes cover a rectangular prism, if only the figure on the right was showed?

 

Well, I will now provide you with the formula the of the volume of a rectangular prism. 

 

Formula: V=lwh  (length width height)

 

 

Volume of Cylinder:

Formula: pi r^2 h

 

 

 

 

Volume of Pyramids and Cones :

 

  

 

I hope you are understanding so far! make sure to follow along with the formulas and you will have no problem. Check out the video below for any doubts.

 

 

 

 

Volume of a Sphere:

 

 

                                              Formula : V = 4/3 π r³