Geometry for grade 6.

Area:

The region covered by a closed figure (see more about closed figures  link to grade 5) is called area. It is measured in two dimension that is if the length is measured in cm then the area will be in cm².

 

 

a)      Area of a triangle:

Area of triangle is, 1/ 2 × (base × altitude).

Example:

What is the area of a triangle having base =          3cm and altitude = 4 cm?

Area = ½ ( 3 × 4) = 12/2 = 6cm².

 

b)      Area of a square:

Area of a square is = side length × side length.

Example:

If a square has side length 3cm what is its area?

Area = 3cm × 3cm = 9cm².

 

c)      Area of a rectangle:

Area of a rectangle is 2 × ( length × width )

Example:

What is the area of a rectangle having length =         6 and width =5?

Area = 6 × 5 = 30 cm².

 

Concept of cube:

A cube is a solid body made up of six equal squares. Its shape as follows,

Concept of a cuboid:

A cuboid is also a solid body which is made up of six rectangles. Its shape is as follows,

Volume:

The space occupied by a solid body is called the volume of the body.

 

 

a)      Volume of a cube:

The volume of a cube is = side length × side length     × side length.

It is measured in three dimensions which means if the side is measured in cm then the volume will be cm³.

 

b)      Volume of cuboid:

The volume of is = length × depth × height

It is also measured in three dimensions which means that the volume will always be in cm³

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