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Measurement
Volume
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Measurement Units

Volume: The amount of space occupied by an object is called its volume.
Cubic units are used to measure the volume.(eg.cm3, m3)

The volume of a rectangular prism = length width height


Prism is a three dimensional object which has a uniform cross sectional area.
 

                          
In this prism, the cross section is a rectangle.This is called a rectangular prism.

V = l w h

 

The volume of a prism = Area of the base height

 

                         

 

V = A h

Where A is the area of the base and h is the height of the prism.

 

 

 

 

 

 

Example

1. Let's find the volume of this prism.

                            

                                    

To find the volume of the prism, we can use the above formula.

V = l w h

Where    l = 4cm,    w = 3cm,       h = 5cm

V  =  4 3 5 cm3
=        60 cm3

 

 

2. Let's find the volume of this figure.

   

To find the volume of the prism, we can use the formula V = A h  where A is the area of the base(or area of the cross section) and h is the height(or the length of the prism)

The base of the prism is a triangle, so we need to find the area of the triangle.

Area of a triangle (A)  =  b h  =  8 7 = 28 cm2

The height of the prism (h) (or the length of the prism) = 13 cm

Volume of the prism   =  A h     =  28 13    =   364 cm3

 

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Have a Go

Problem 1

Find the volume of this cylinder.

 

 

See Solution

 

 

 

 

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Practice Questions

Question 1
Find the volume of this cylinder.

 

 

Question 2
Find the volume of this figure.

 

 

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Solution 1
 

 

 

 

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