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Posts tagged with volume

Nature’s Perfect Circle #1

April10

With a diameter of nearly 3.5km and a circumference well over 10km, Pingualuit Crater in the far north of Quebec is almost perfectly circular and filled with water. I chatted with Pierre Philie, a French cultural geographer with a strong interest in anthropology and resident of Kangiqsujuaq (Nunavik’s most northern settlement and gateway to this […]

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Is there a difference between Logic and Mathematics?

November13

Yes, there is a difference between Logic and Mathematics. David Joyce, Professor of Mathematics at Clark University makes the distinction like this – “Mathematics studies numbers, geometry, and form.  Those require definitions and axioms to characterize the subjects of study.  Logic is used to prove properties based on those definitions and axioms. Logic can also […]

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Riding the Sine Wave…

December8

A sine wave is a repetitive change or motion which, when plotted as a graph, has the same shape as the sine function. For example, on the right is a weight suspended by a spring. As it bounces up and down, its motion, when graphed over time, is a sine wave. In reality, friction and […]

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Spheres

April15

H3 were amazed by the glass sculpture garden they visited in Taupo, New Zealand. Located at Lava Glass, one of the world’s premier glass blowing factories, this garden is a delightful collection of glass flowers, glass spheres and glass sculptures. It made us think again about the significance of the sphere as a mathematical shape […]

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How Mathematics is used on the International Space Station

August20

Related video on Volume and Mass  

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How many cc’s in these?

March29

It can be quite difficult for students to visualise the size of a cubic centimetre, and find out how many of these make up a litre (or other volume measurement). The best way is to actually use a number of cubic centimetres to do this with. The practical exercise helps cement the idea that 1 […]

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Measure Things!

March21

                  We would encourage you to measure things – find the lengths, areas and volumes of common objects. Here is a really good way to start: first, guess the measurement you are trying to find; then measure and compare your results. With a little practice you will […]

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More fun – Volume of a Pizza

June3
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Volume Example

May28

Here is a typical volume problem when working with a cylinder. Remember that the solution is to find the end area (circle) and then multiply that by the height (or length) of the cylinder:  

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For Volumes we first need areas!

May28

Have a close look at this following aerial picture, taken over the city of Brisbane, Australia.  The fuel tanks are cylinders and you can clearly see that the tops are shaped like circles. So, we would use the area of a circle formula to find the area(s) of the top of each tank. To find […]

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Post Support

Largest number between o and 1 million which does not contain the ‘n’ is 88

 

Rotation SAT Problem: Answer: 4 (see: https://www.youtube.com/watch?v=FUHkTs-Ipfg)

 

Which number has its letters in alphabetical order? Answer: F O R T Y

Hidden Rabbit? Clue: check the trees

How long for the stadium to fill? 45 minutes.

Where are you? the North Pole

Prize Object Puzzle: If Sue does not know where the prize is in the first question, it can’t be under the square. She must have been told it is under another shape. Apply this same logic to Colin. It is then obvious that the prize cannot be under a yellow object. That helps Sue eliminate her yellow shapes. Got the idea?

Algebra Puzzle: Answer = 1

Popular Math Problems Answers: 1, 1

Number of tabs? According to Lifehacker, the ideal number of tabs you should have open is nine. Yes, a single digit. To some, this is like playing a piano and only using a fraction of the notes!

Worst Graph? Where to start. What a visual mess and even some of the lines merge and are impossible to follow. A graph is a visual display of data, with the goal to identify trends or patterns. This is a spider’s web of information which fails to show a clear pattern at all. Solution? Well, different colors would help, or why not group in two or three graphs where trends are similar?

Number of different nets to make a cube is eleven – see this link

Homework Puzzle; The total value of the counters is 486, so halve this to get 243. Now, arrange the counters to equal this amount twice.

The graph on the left (Coronavirus) is for a time period of 30 days, while the one on the right (SARS) is for 8 months! Very poor graphical comparison and hardly relevant, unless it is attempting to downplay the seriousness of the coronavirus?

10 x 9 x 8 + (7 + 6) x 5 x 4 x (3 + 2) x 1 = 2020

NCEA Level 2 Algebra Problem. Using the information given, the shaded area = 9, that is:
y(y-8) = 9 –> y.y – 8y – 9 =0
–> (y-9)(y+1) = 0, therefore y = 9 (can’t have a distance of – 1 for the other solution for y)
Using the top and bottom of the rectangle,
x = (y-8)(y+2) = (9-8)(9+2) = 11
but, the left side = (x-4) = 11-4 = 7, but rhs = y+? = 9+?, which is greater than the value of the opp. side??
[I think that the left had side was a mistake and should have read (x+4)?]

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