Tuesday, April 24, 2007

Allison's Measurement Growing Post

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

A right angle triangle has a base, altitude, hypotenuse and a right angle.



The Theorem of Pythagoras, (which was named after the famous mathematician Pythagoras), is a formula that is written as a² + b² = c². The a represents the altitude, the b represents the base and the letter c represents the hypotenuse.



This formula states that the altitude squared, plus the base squared, equals the hypotenuse squared of a right angle triangle. (This formula only works on right angle triangles!)




Now, let's solve an equation with a missing hypotenuse. Don't worry, if you use the formula correctly this equation should be easy.






Let's solve one more equation, except this time, the equation will have a missing leg, (altitude or base), instead of the hypotenuse. This may seem tricky, but if you use your knowledge of algebra, it should be a piece of cake!






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



You may not realize it, but we see right rectangular prisms everywhere during our everyday lives. Some examples include....



Cereal Boxes

Speakers

DVD Players

Jewellery Boxes

You can easily find the surface area of a right rectangular prism by using the following formula:

SA = 2 (lw) + 2 (lh) + 2 (wh)





This is a net of a right rectangular prism. When it is folded correctly, it creates a rectangular prism.






Using the rectangular prism I made and its dimensions, let’s figure out its surface area.

SA = 2 (l h) + 2 (h w) + (l w)
SA = 2 (15 8) + 2 (8 5) + 2 (15 5)
SA = 2 (120) + 2 (40) + 2 (75)
SA = 240 + 80 + 150
SA = 470 m²



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



A cylinder is a solid that has two parallel, congruent circular bases. We actually see cylinders everywhere around us. Here are some examples of cylinders you might be familiar with:



Soup Cans

Frozen Juice

Pop Cans

Here is a picture of a cylinder and its dimensions.



This is what the cylinder above, would look like if it was flattened out. This is called the cylinders’ net.




Finding the surface area of a cylinder is quite simple, if you use the correct formula. The formula is:
SA = 2п r² + 2п r
Using the same cylinder, let’s figure out how to find the surface area.
SA = 2п r² + 2п r h
SA = 2 (3.14) 5² + 2 (3.14) (5) (12)
SA = 2 (3.14) 25 + 6.28 (60)
SA = 157 + 376.8
SA = 533.8 cm²

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


A polygon is classified as any closed figure that has three or more straight line segments.



Chart of Polygons Having up to 10 Sides


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There are two types of polygons, regular and irregular. An irregular polygon is classified as having angles of different sizes and sides of different lengths.











Examples of Irregular Polygons













A regular polygon is classified as having sides of equal length and angles of the same size.
















Examples of Regular Polygons











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Not Polygons




























6 comments:

Anonymous said...

Its good how you made your post, its really good, but remember to colour your questions. They have to be in a different colour. Good job though!

sheek_and_unique said...

hey allison your post is looking really good except in the bubble share slide show about regular polygons you have a star. A star is an irregular polgon keep up the good work!!

chucknorris101 said...

very neat and creative!

roboclean said...

Good job explaining everything

This is my wicked awsome username said...

Good job on your post, very nice.

sheek_and_unique said...

hey allsion you're post is lookign awesome! but I didn't see you having a rectangular prism net. A net is the flattened out version. Hope fully i just missed it :)
good job though