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Monday, July 26, 2021

Wananga

  

School

Important Dates

- Mock Exam week in week 7 and 8

- Football games  don't know when is the final 


Personal

- Friends Birthday on 1/September/2021

- Football Tournament  26/September/2021 


My Goal For Term Three is...

- Improve my Lateness 

- Improve my Attitude 

- Improve my Health 

- Build a good study health 

- Make time to read 


 


Thursday, July 8, 2021

how to calculate volume

 Whereas the basic formula for the area of a rectangular shape is length x Width, the basic formula for volume is length s width s height. 





Maths Circle Facts and terminology

Circle is the the distance around it. Diameter Any straight line that passes through center of the circle to two points on the perimeter. Radius Any Straight line that originates at center of circle and ends at the perimeter. 







Tuesday, July 6, 2021

Maths how to calculate volume

What Do We Mean By Volume


1.What do we mean by Volume?
Volume is the amount of space inside of an object so like a 3d shape if we want to measure the volume of a square we need to measure how much is inside of it.

What do we mean by volume?

- the amount of space that a substance or object occupies or that is enclosed within a container.


How do we measure it?

- In math, the volume is the amount of space in a certain 3D object. For example, a fish tank has 3 feet in length, 1 foot in width, and two feet in height. To find the volume, you multiply length times width times height, which is 3x1x2, which equals six. So the volume of the fish tank is 6 cubic feet.


Is there a conversion to liters?

- A liter is a cubic decimetre, which is the volume of a cube 10 centimeters × 10 centimeters × 10 centimeters (1 L ≡ 1 dm3 ≡ 1000 cm3). Hence 1 L ≡ 0.001 m3 ≡ 1000 cm3 and 1 m3 (i.e. a cubic meter, which is the SI unit for volume) is exactly 1000 L.


The volume of a rectangle

- To find the volume of a rectangle, multiply its 3 dimensions: length x width x height. The volume is expressed in cubic units.


The volume of a cylinder

- A cylinder's volume is π r² h, and its surface area is 2π r h + 2π r²


The volume of a prism 

-Volume of a rectangular prism = (length x width x height) cubic units. V = (l x w x h) cubic units


The volume of a barrel

- FormulaBarrel Volume = πh12 (2D2 + d2


The volume of a cone


There is a kiddy pool in the back garden it is 3 meters wide 8 meters long and we can only fill it 1.2m high.

- How much water does it take to full?

to calculate I use 

lxbxh

3 x 8 x l.2 = 28.8

I know that 1m3 = 1 liter = 1000cm3

28.8 x 1000 = 28800 liter


-the pool is on a deck how heavy is it?

3m x 8m x 1.2m = 28.8M3

1l = 1kg
28.8 x 1000 = 28800kg

There is a trailer of barrels 

Each barrel is 1.5m high with a diameter of 0.75m


how much weight is on the trailer

0.75/2 = 0.375

3.142 x 0.375 x 2 = 2.3565m2

2.3565 x 1000 - 2356.5

2356.5 x 6 = 14139L

M3

Cm3

Mm3

Monday, July 5, 2021

Maths Triangle Facts

 1. Triangle Facts? 

- The sum of all the internal angles of a triangle is always 180o no matter how the triangle is constructed.

- The length of any sides of the triangle is shorter than the sum of the other two sides. 

- A triangle can always be split into two right triangles no matter how the triangle is constructed.

- A triangle is polygon with three edges and three vertices. it is one of the basic shapes in geometry. A triangle with a vertices A,B, and C

2. Types of Triangles?

The sum of angles is any triangle is 180

The equilateral triangle has three equal sides and angles 

An isosceles triangle can be drawn in many different ways

A right-angled triangle has one 90 angle 




3. Pythagoras? who, when, what, where 

Who invented Pythagoras  

Nevertheless, the theorem came to be credited to Pythagoras. It is also proposition number 47 from Book I of Euclid's Elements. According to the Syrian historian Iamblichus (c. 250–330 ce), Pythagoras was introduced to mathematics by Thales of Miletus and his pupil Anaximander.

What did Pythagoras invent?

- He is mainly remembered for what has become known as Pythagoras' Theorem (or the Pythagorean Theorem): that, for any right-angled triangle, the square of the length of the hypotenuse (the longest side, opposite the right angle) is equal to the sum of the square of the other two sides (or “legs”).

Where Pythagoras is used 

The Pythagorean is used to calculate the steepness of slopes of hills or mountains. 

When was Pythagoras discovered

- was first known in ancient Babylon and Egypt (beginning about 1900 B.C.). The relationship was shown on a 4000 year old Babylonian tablet now known as Plimpton 322. However, the relationship was not widely publicized until Pythagoras stated it explicitly.


Theorem 

How does it work 

 theorem states that for all right-angled triangles, 'The square on the hypotenuse is equal to the sum of the squares on the other two sides'. The hypotenuse is the longest side and it's always opposite the right angle.