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 Physics III (Cross Section) S.Y. 2008-2009

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PostSubject: Physics III (Cross Section) S.Y. 2008-2009   Mon Feb 16, 2009 7:15 pm

Kasabot mu? Wa ko kasabot, nahibaw an ra nako naay gi ingun si sir cross section something... samoka physics oi


Space Figure


A space figure or three-dimensional figure is a figure that has depth in addition to width and height. Everyday objects such as a tennis ball, a box, a bicycle, and a redwood tree are all examples of space figures. Some common simple space figures include cubes, spheres, cylinders, prisms, cones, and pyramids. A space figure having all flat faces is called a polyhedron. A cube and a pyramid are both polyhedrons; a sphere, cylinder, and cone are not.
Cross-Section


A cross-section of a space figure is the shape of a particular two-dimensional "slice" of a space figure.
Example:
The circle on the right is a cross-section of the cylinder on the left.

The triangle on the right is a cross-section of the cube on the left.

Volume


Volume is a measure of how much space a space figure takes up. Volume is used to measure a space figure just as area is used to measure a plane figure. The volume of a cube is the cube of the length of one of its sides. The volume of a box is the product of its length, width, and height.
Example:
What is the volume of a cube with side-length 6 cm?
The volume of a cube is the cube of its side-length, which is 63 = 216 cubic cm.
Example:
What is the volume of a box whose length is 4cm, width is 5 cm, and height is 6 cm?
The volume of a box is the product of its length, width, and height, which is 4 5 6 = 120 cubic cm.

Surface Area


The surface area of a space figure is the total area of all the faces of the figure.
Example:

What is the surface area of a box whose length is 8, width is 3, and height is 4? This box has 6 faces: two rectangular faces are 8 by 4, two rectangular faces are 4 by 3, and two rectangular faces are 8 by 3. Adding the areas of all these faces, we get the surface area of the box:
8 4 + 8 4 + 4 3 + 4 3 + 8 3 + 8 3 =
32 + 32 + 12 + 12 +24 + 24=
136.
Cube


A cube is a three-dimensional figure having six matching square sides. If L is the length of one of its sides, the volume of the cube is L3 = L L L. A cube has six square-shaped sides. The surface area of a cube is six times the area of one of these sides.
Example:
The space figure pictured below is a cube. The grayed lines are edges hidden from view.

Example:
What is the volume and surface are of a cube having a side-length of 2.1 cm?
Its volume would be 2.1 2.1 2.1 = 9.261 cubic centimeters.
Its surface area would be 6 2.1 2.1 = 26.46 square centimeters.
Cylinder


A cylinder is a space figure having two congruent circular bases that are parallel. If L is the length of a cylinder, and r is the radius of one of the bases of a cylinder, then the volume of the cylinder is L pi r2, and the surface area is 2 r pi L + 2 pi r2.
Example:
The figure pictured below is a cylinder. The grayed lines are edges hidden from view.

Sphere


A sphere is a space figure having all of its points the same distance from its center. The distance from the center to the surface of the sphere is called its radius. Any cross-section of a sphere is a circle.
If r is the radius of a sphere, the volume V of the sphere is given by the formula V = 4/3 pi r3.
The surface area S of the sphere is given by the formula S = 4 pi r2.
Example:
The space figure pictured below is a sphere.

Example:
To the nearest tenth, what is the volume and surface area of a sphere having a radius of 4cm?
Using an estimate of 3.14 for pi,
the volume would be 4/3 3.14 43 = 4/3 3.14 4 4 4 = 268 cubic centimeters.
Using an estimate of 3.14 for pi, the surface area would be 4 3.14 42 = 4 3.14 4 4 = 201 square centimeters.
Cone


A cone is a space figure having a circular base and a single vertex.
If r is the radius of the circular base, and h is the height of the cone, then the volume of the cone is 1/3 pi r2 h.
Example:
What is the volume in cubic cm of a cone whose base has a radius of 3 cm, and whose height is 6 cm, to the nearest tenth?
We will use an estimate of 3.14 for pi.
The volume is 1/3 pi 32 6 = pi 18 = 56.52, which equals 56.5 cubic cm when rounded to the nearest tenth.
Example:
The pictures below are two different views of a cone.


Pyramid


A pyramid is a space figure with a square base and 4 triangle-shaped sides.
Example:
The picture below is a pyramid. The grayed lines are edges hidden from view.

Tetrahedron


A tetrahedron is a 4-sided space figure. Each face of a tetrahedron is a triangle.
Example:
The picture below is a tetrahedron. The grayed lines are edges hidden from view.

Prism


A prism is a space figure with two congruent, parallel bases that are polygons.
Examples:
The figure below is a pentagonal prism (the bases are pentagons). The grayed lines are edges hidden from view.

The figure below is a triangular prism (the bases are triangles). The grayed lines are edges hidden from view.

The figure below is a hexagonal prism (the bases are hexagons). The grayed lines are edges hidden from view..
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PostSubject: Re: Physics III (Cross Section) S.Y. 2008-2009   Mon Feb 16, 2009 8:32 pm

mt na raba ugma... Very Happy
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PostSubject: Re: Physics III (Cross Section) S.Y. 2008-2009   Tue Feb 17, 2009 12:41 pm

Wow, tig research diay ni si torrentblitz ba.. bounce
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PostSubject: Re: Physics III (Cross Section) S.Y. 2008-2009   Tue Feb 17, 2009 6:43 pm

copy paste toho Very Happy
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PostSubject: Re: Physics III (Cross Section) S.Y. 2008-2009   Tue Feb 17, 2009 7:07 pm

Ching-A-Ling wrote:
copy paste toho Very Happy

probably.. Haay pagkalisod ba sa test ni sir.. Neutral
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PostSubject: Re: Physics III (Cross Section) S.Y. 2008-2009   Tue Feb 17, 2009 7:40 pm

hoi.. sauna raman nang cross section..
unsa problem? find the area? lolx

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PostSubject: Re: Physics III (Cross Section) S.Y. 2008-2009   Tue Feb 17, 2009 7:42 pm

Daghan.. And dapat raba i derive ang formula una para ma solve.. Walay problem nga about sa original formula.. Sad
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PostSubject: Re: Physics III (Cross Section) S.Y. 2008-2009   Tue Feb 17, 2009 7:55 pm

derive2x.. mkalagot
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PostSubject: Re: Physics III (Cross Section) S.Y. 2008-2009   Wed Feb 18, 2009 6:23 pm

haha saun raman derive if naa na ang original na formula.. pila ra pag balhin2 ... ^_^

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PostSubject: Re: Physics III (Cross Section) S.Y. 2008-2009   Wed Feb 18, 2009 7:10 pm

Ching-A-Ling wrote:
copy paste toho Very Happy


~hahahahah!!!!~


~mau jud!!!~


~saun ra man copy paste noh...~

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IM SO CUTE!!!!!
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PostSubject: Re: Physics III (Cross Section) S.Y. 2008-2009   Wed Feb 18, 2009 7:13 pm

There's a % of hard work in it.. and % time but a large % of it was conserved because of ... Copy paste! *insert lame laugh here*
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PostSubject: Re: Physics III (Cross Section) S.Y. 2008-2009   Wed Feb 18, 2009 7:46 pm

ew... hahaha

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PostSubject: Re: Physics III (Cross Section) S.Y. 2008-2009   Thu Feb 19, 2009 6:34 pm

lisod btaw jd 2ng MT ni sir baytz...

paningot gd ko ug inan.ser ad2...

and naay effort nang pag.copy,paste uie kapoi bya mag.gunit sa mouse while mag.drag... Very Happy
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PostSubject: Re: Physics III (Cross Section) S.Y. 2008-2009   Thu Feb 19, 2009 6:40 pm

lisod jud? ^_^

cge effort..
ato nalang pakpakan..

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PostSubject: Re: Physics III (Cross Section) S.Y. 2008-2009   Thu Feb 19, 2009 6:42 pm

hahaha...

tabangan tika...[clap clap clap clap...]
Very Happy
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PostSubject: Re: Physics III (Cross Section) S.Y. 2008-2009   Mon Feb 23, 2009 6:51 pm

taka man mu ug effort! walay effort oi! 0 dayun nang sayup! inana kalisod ang test namo!
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PostSubject: Re: Physics III (Cross Section) S.Y. 2008-2009   Mon Feb 23, 2009 8:56 pm

wahahaha ... lisod jud diay tali .. ^_^

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PostSubject: Re: Physics III (Cross Section) S.Y. 2008-2009   Tue Feb 24, 2009 7:39 pm

wa btaw jd points para effort torrentblitz...


and lisod jd tawn 2 alphahydrae.. Very Happy
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PostSubject: Re: Physics III (Cross Section) S.Y. 2008-2009   Tue Feb 24, 2009 8:01 pm

aw.. patan-awa ta inyo test paper beh.. ^_^

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PostSubject: Re: Physics III (Cross Section) S.Y. 2008-2009   Tue Feb 24, 2009 8:04 pm

unya nah inig uli ni sir... Very Happy
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PostSubject: Re: Physics III (Cross Section) S.Y. 2008-2009   Tue Feb 24, 2009 8:05 pm

uli ni sir? asa man diay si sir? ^_^

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PostSubject: Re: Physics III (Cross Section) S.Y. 2008-2009   Tue Feb 24, 2009 8:08 pm

awh...

inig uli sa test papers ni sir namo bah... Very Happy
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PostSubject: Re: Physics III (Cross Section) S.Y. 2008-2009   Tue Feb 24, 2009 8:17 pm

aw.. wala pa ba diay gi uli? mura ug dugay naman gud toh.. haha

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PostSubject: Re: Physics III (Cross Section) S.Y. 2008-2009   Tue Feb 24, 2009 8:25 pm

wla pa...last week paman pd 2 nga test... Very Happy
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PostSubject: Re: Physics III (Cross Section) S.Y. 2008-2009   Tue Feb 24, 2009 8:41 pm

awh... last week was like a long time ago naman.. haha

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PostSubject: Re: Physics III (Cross Section) S.Y. 2008-2009   Wed Feb 25, 2009 7:18 pm

uh...

nuon pd...

bsen busy pd 2 si sir... Very Happy
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PostSubject: Re: Physics III (Cross Section) S.Y. 2008-2009   Wed Feb 25, 2009 8:44 pm

happy birthday for sir ian today.. ^_^

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PostSubject: Re: Physics III (Cross Section) S.Y. 2008-2009   Thu Feb 26, 2009 7:27 pm

btaw btaw!!...

late nah ko...

belated happy birthday sir! Very Happy
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