Monday, 12 April 2021
Mean, Median and Mode
Thursday, 8 April 2021
How to work out the volume
How to work out the volume?
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
When used to denote a volume, one barrel is exactly 42 US gallons and is easily converted to any other unit of volume
The volume of a cone
The formula for the volume of a cone is V=1/3hπr²
M3
Cm3
Mm3
Some of this information that I have gathered has come from Wikipedia or google.
There is a pool.
The pool is 3m by 8m by 1.2m.
How much water does it take to fill the pool?
The pool is on a deck. How heavy is the pool.
3 x 8 x 1.2= 28.8m3
1L = 1Kg
28.8L= 28.8kg
I know that 1m3= 1000L
28.8 x 1000= 28,800L
There is a trailer of barrels
Each barrel is 1.5m high with a diameter or 0.75m
How much weight is on the trailer?
0.75/2 = 0.375
3.142 x 0.375 x 2= 2.3565
2.3565 x 1000= 2356.5
2356.5 x 6= 14139L