Sunday, April 22, 2007

Victoria's Measurement Growing Post

Please enjoy my fantastic growing post! ;)

Question 1: What is the Pythagorean Theorem?

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Question 2: How do you find the surface area of a right rectangular prism?

First off, a right rectangular prism has 6 faces (and the faces that are opposite of each other are of the same measurements). The surface area is simply the sum of the six sides. To find the surface of a rectangular prism you must follow the following formula: 2(l.w) + 2(l.h) + 2(w.h). And that's about it!
Shortcut Letters
l = length

w = width

h = height

And, you better believe me when I tell you that examples of rectangular prisms are in fact, microwave ovens and CD cases. Imagine life without them! We better be thankful for our ingenious inventions that have taken the shape of a 3D rectangles!

For more help on surface area, check out this website!
http://www.mathguide.com/lessons/SurfaceArea.html(Copy and paste into your browser!!)

Question 3: How do you find the surface area of a right cylinder?
I'm just going to throw it out there; a cylinder can come in all shapes in sizes (short, tall, skinny, wide) but the way of calculating the surface area is always the same for a right cylinder.

2 x π x r x r + 2 x π x r x h
With 'r' equaling radius, 'h' equaling hight and
π equaling 3.14

Below is my fabulous net and right cylinder diagram that has been prepared for you on gliffy! Please view it; it is very attractive and accurate!



PLEASE NOTICE: Soup tins and batteries are perfect examples of cylinders. Although, the battery is a little deformed at each end, you get the idea. (:

Question 4: What is a polygon and how do we classify one?




A polygon is classified as a closed figure with three or more straight sides. A name of a particular polygon is determined by the number of sides it has.

A regular polygon is classified by equal sides and same angles. An irregular polygon is classified by unequal angles and sides. (It would be the exact opposite of a regular Polygon!)Figure one, (above), shows regular polygons in purple and irregular in yellow.



*** And remember, a polygon is always a polygon no matter how many sides it has! As long as the lines are straight and in the end, the figure is closed! (:

Friday, April 20, 2007

Eric B's measurement growing post

Question 1: What is the Pythagorean Theorem?
The Pythagorean theorem is that the altitude squared of a triangle plus the base squared will equal the triangles hypotenuse squared.







ex: a squared + b squared = c squared
13 squared + 14 squared = c squared
169 + 196 = c squared
365( square route) = c squared (square route)
19.10 = c
ex 2: c2 - b2 = a2
152 -142 = a2
225-196=a2
29 square root
= a square root

5.39=a

Question 2: How do you find the surface area of a right rectangular prism?
A rectangular prism is any 3D object that's sides are all quadrilaterals.


2(7x4) + 2(7x5) + 2(5x4)=sa
56+ 70 + 40 =sa
166=sa






Question 3: How do you find the surface area of a right cylinder?





A right cylinder is a 3 dimensional shape that has two circles attached together by a tube.



SA= 2 pi r2 + 2 pi r h
SA= 2 pi 22 + 2 pi 2x7
SA= 113.10cm

Question 4: What is a polygon and how do we classify one?
A polygon is any closed 2 dimensional shape that has at least 3 sides that are all straight lines. A regular polygon is a polygon that has all of the sides the same length and all of the same angles. An irregular polygon is one that has different side lengths or angles. A polygon is classified by the amount of sides that it has (eg: a triangle has 3 sides, a quadrilateral has 4, a pentagon has 5 etc.).











Nick's Measurement Growing Math Post

Question 1: What is the Pythagorean Theorem? You should use words, pictures, symbols and numerical examples.









Question 2: How do you find the surface area of a right rectangular prism? You should use words, pictures, symbols and numerical examples.

















Question 3: How do you find the surface area of a right cylinder? You should use words, pictures, symbols and numerical examples.




Question 4: What is a polygon and how do we classify one?

Wednesday, April 18, 2007

Brian's measurement growing post

Question 1: What is the Pythagorean Theorem? You should use words, pictures, symbols and numerical examples.



The Pythagorean Theorem was discovered by a Greek mathematician, Pythagoras. The Pythagorean Theorem is the altitude of a right triangle squared plus the base of the right triangle squared equals the hypotenuse of the triangle squared.

For example. a=12, b=6, c=?... 12 x 12= 144, 6 x 6= 36, c=?


144 + 36=180... 180(square route)= 13.42

The formula is :

Question 2: How do you find the surface area of a right rectangular prism?



To get the surface area, use the formula: SA=2(lw)+2(lh)+2(wh)

The formula for getting the volume is V= l*w*h

Example of surface area:
A Rectangular Prism has a lenth of 15m a width of 12m and height of 25m. What is the surface area?





Question 3: How do you find the surface area of a right cylinder? You should use words, pictures, symbols and numerical examples.


Question 4: What is a polygon and how do we classify one?


































Ty's Measurement Growing Post






Hey everyone, here is my growing post, it's pretty much the c00l. Anywho...this will be a great success, now LET'S GO!

Question 1: What is the Pythagorean Theorem?

Hey everyone, you'll probably hate me for this, but it appears that you need some schoolin' in history; Pythagoras to be specific. It all began when a Greek man, named Pythagoras, 18, went to the Greek island of Lesbos and studied under another famous philosopher named Thales of Miletus. Thales had previously been in Egypt and recommended to Pythagoras to go there. Pythagoras did end up going around 547 BC and that is where he came up with his theory. Now that wasn't so bad was it?
There are three sides in a triangle, no? Have you ever thought to yourself: "Hmmm, I wonder if the sides of triangles have names." Well they do, and I, with the assistance of lovely Microsoft Paint will show you.









In a right triangle, the longest side is always that diagonal one called the hypotenuse (C). The hypotenuse is always the side on the opposite of the right angle, which is where the altitude (A) and the base (B) meet.

So one thing happened after another and Pythagoras made this theory, and this was:
The sum of the squares of the altitude (A) and the base (B) add up to the the square of the hypotenuse (C). Meaning A x A + B x B = C x C (A² + B² = C²)


Let's say that A is 12 and B is 7 and we're trying to find the length of the hypotenuse. We'll start off doing 12 x 12 + 7 x 7. 12 x 12 is 144 and 7 x 7 is 49, add those two together and you get 193.
We added the squares of the two legs and got 193, therefore, C squared is 193. Now we need to find the square root of 193, which is about 13.89 That's an example of finding the length of the hypotenuse.

Now let's try a triangle that has a missing leg. We'll use the same lengths this time, but we'll pretend that we don't know the length of A. This time we do things a bit differently, instead of adding two squares, we must SUBTRACT them. 13.89 x 13.89 (or C x C) is (roughly) 193. 7 x 7 (or B x B) is 49. Now we subtract 49 from 193 (193 - 49), giving us 144. We then find out the square root of 144, giving us 12. There you go! We solved the riddle!

Wow, that was a long post.
Bye bye!




Question 2: How do you find the surface area of a right rectangular pri
sm?

No long explanation this time, I'm cutting straight to the chase. A right rectangular prism is a three-dimensional shape that has 6 faces, all the lines are staight, and all of the angles are 90 degrees. They are a very, very common sight; in fact, the router you're using in order to read this post is probably one!

Brick --->
<---Router The formula for finding the surface area is this (x represents multiply): SA= 2(l x w) + 2(l x h) + 2(w x h) Which in this case from the picture below would be: SA= 2(15 x 5) + 2(15 x 10) + 2(5 x 10). Giving us the answer of 550cm squared. Thank you and good night.














Question 3: How do you find the surface area of a right cylinder?






A right cylinder is a cylinder whose side is straight, not crooked...just straight, such as these fine specimens.

The formula for finding the surface area of a right cylinder is:
2 x π x r x r + 2 x π x r (radius) x h (height)
In the case of the above photo it would be:
2 x π x 7.5 x 7.5 + 2 x π x 7.5 x 30
Giving us about 1766.25 cm²
That's a wrap!

Question 4: What is a polygon and how do we classify one? (10 Marks)

First off, a polygon is a 2-D closed shape that has at least three straight lines, no less; so circle, no hard feelings, but you're not allowed in the polygon club. OK, now that we have that cleared up, we can move on.
Secondly, there are two basic types of polygons: regular, and IRregular. A regular polygon must have all of its sides have the same lengths and the same angles on all vertices (corners). An irregular polygon is the polar opposite of it's evil brother, the regular polygon; meaning that not all of its sides are the same length and the angles are different, capisci?









Diljot's Measurement Growing Post

Question 1: What is a Pythagorean Theorem? You should use words, pictures, symbols and numerical examples.




Pythaoream Theorem was a Greek mathematician. The Pytheoream Theoem is the side oppsite theright angle is called the Hypotenus and is always labelled 'c'. The other 2 sides are labelled 'a' for the Altitude and 'b' for the Base.
formula for solving pythaoream Theorem

a=48, b=14, c=c
a2 + b2 = c2
482 + 142 = c2
2304 + 164 = c2
√2500 = √c2
50m = c















a2 + b2 = c2
52 + b2 = 6.2522
25 + b2 = 39.0625
b2 = 39.0625 – 25
√b2 = √14.0625
b = 3.75





















Question 2: How do you find the surface area of a right rectangular prism? You should use words, pictures, symbols and numerical examples.

A right rectangular prism has 2 ends and 4 sides. Opposite sides that have the same area. The suface area is the sum of the area of all 6 sides. The formula of a right rectangilar prism is SA= 2(l x h)+ 2(h x w)+ 2(l x w)
L= 5, H= 4, W=3 L= lengh, H= height, W= width and SA= Suface Area
ex #1: SA= 2(l x h)+ 2(h x w)+ 2(l x w)
SA= 2(5 x 4)+ 2(4 x 3)+ 2(5 x 3)
SA= 2(20)+ 2(12)+ 2(15)
SA= 40 + 24+ 30
SA= 94 cm2

L= 15, H=8, W=5
ex #2: SA= 2(l x h)+ 2(h xw)+ 2(l x w)
SA= 2(15 x 8)+ 2(8 x 5)+ 2(15 x 5)
SA= 2(120)+ 2(40)+ 2(75)
SA= 240 + 80 + 150
SA= 470 cm2


















This is a table.


















and this is a Portable Dishwasher.


Question 3: How do you find the surface area of a right cylinder? You should use words, pictures, symbols and numerical examples.
Upright erect from a base; having an upright axis; not oblique; as, right ascension; a right pyramid or cone.
























First the formula is: SA= 2(πr2+π rh



SA= 2(3.14)52 + (3.14)(5)(12)
SA= 6.28(25) + (6.28)(60)
SA= 157 + 376.8
SA= 533.3m2




















































Question 4: What is a polygon and how do we classify one?


A regular polygon is a closed figure with three or more sides where all sides are congruent and all interior angles are congruent for example like a trangle, pentagon, hexagon, Octagon and a irregular polygon is the oppsite of a regular poygon.