Monday, April 14, 2008

Megan's bob

We learned how to find the surface area of a rectangular prism and this is how:

First you need to make a net which is a rectangle that is flatten out where you'd be able to see all of the sides, like this.


The colours represents which are the same which is found across from each other.


(Eg. Red is the same as the Red across from it.)


Now measure each side to find how many centimetres that part has. You can just measure one part of each colour since they're all the same. Measure for Height, Length and Width. Once you get the measurements, multiply by 2 to represent the second part of that colour. (Since their are 2 colours that are the same for the same parts.)


Next add everything together to get the surface area!


Volume of Rectangular Prism


Finding the volume is really not such a big deal! Actually, all you have to do is take the measurements of the Length, Width, and Height and multiply them together! Easy right?



Same goes for when you're trying to solve a cube!


Make a net like you did on the rectangular prism!



Finding the surface area of a cube is really easy!! A piece of cake and I'll show you how!

A cube has all of the sides equal which means you just have to measure one side and that measurement goes for the Length, Width, and even Height!

VOLUME!

Same goes for volume! It's just like how we did with the rectangular prism.

Hope you guys find this understandable! (especially the colour thingy part! XP)
~megan


Derrick's Bob





to find the surface area you will need:

Area of top and bottom : 2(L x W)

Area of front and back : 2(H x L)

Area of both sides : 2(H x W)

Surface Area = 2(L x W) + 2(H x L) + 2(H x W)

A net will help you find the
height, length, and width of the
Prism easily.






example of how it should look:


to find the volume of this cube you will have to follow this simple step:

L x W x H -
5cm² x 5cm² x 5cm²=
125cm² = volume of the cube

Another step you can try is base times height:
( 25cm² ) x 5cm² = 125cm²

vina's bob

Vina's bob



































Surface Area:

To find the surface area of a cube or a rectangular prism you need to add all squares together.






















Volume:
To find the volume of a cube or a rectangular prism you need to multiply the length x with x height.






















Jordan's BOB

First you take your rectangular prism and flatten it so you can see all the sides. This is called a net:
Now take the measurements for the height, width and length or each part of the net (top & bottom, left/right side, front & back) and find the area of each. Since the top-bottom, sides and front-back are the same, you only need to measure one part (top, left side and front) then multiply what you get by 2 to represent the bottom, right side and back.

Then you add everything together. There's your surface area. It should look something like this: To find the volume of a rectangular prism, all you need to do is take the length, width and height measurements then multiply them together. Here's an example: Well... I'm done.

Robby's BOB

For the past 2 weeks, we learned how to find surface area's and volumes of 3-dimensional (3D) objects like rectangular prisms and cubes. Here is how to find the Surface area and Volume of a Rectangular Prism:

Surface Area of a Rectangular Prism



This is a Rectangular Prism. You can see the length, width, and height from any angle, meaning it is a meaning it is a 3D object.

Surface area is "how much wrapping you need to cover the whole object". So, if you were to cover it, you much wrapping would you need in a unit of measurement (not squared).







Our new Rectangular Prism has some measurements attached to it, so we can solve the surface area and Volume.


So:
Length = 6 cm
Width = 10 cm
Height = 6 cm

There is 1 formula for finding surface area:

-It is
(Area of L side + Area of R Side) +
(Area of Top) + Area of Bottom) +
(Area of Front + Area of Back)






O
ne important thing must be done to simplify finding the surface area. You must turn the rectangular prism into its 'Net' form, which is as follows:



Now do the equation (Since L side and R side, and Top and bottom, and Front and back have the same area, simply x2 to use less space.:

Surface Area
=
(Area of L side x 2) +
(Area of Top x 2) +
(Area of Front x 2)

=(60cm² x 2) + (36cm
² x 2)
+ (60cm
² x 2)
=(120cm
²) + (72cm²) + (120cm²)

=312cm
² is the Surface Area





Now Volume is pretty easy, there are 2 different ways on finding it.
One is : Length x Width x Height
the other one is Area of Base x Height

I'll do both to prove they both work:


The measurements are:
L = 6 cm
W = 10 cm
H = 6 cm

The Formula:
= Length x Width x Height
= 6cm x 10 cm x 6 cm
= 60 cm x 6
= 360 cm³ (note, the answer is CUBED or the power of 3 (³) because you are multiplying 3 dimensions together: length, width, and height)




The Second Formula is Area of Base x Height:
Area of Base = L
x W or L x H or W x H
Area of Base = L x W (for now)
Area of Base = 6cm x 10cm
Area of Base = 60cm²

Height = 6cm

60cm² x 6 = 360 cm³

See, the answer is 360cm³ for both, meaning they both work.
The Length x Width x Height one is easier, in my opinion, because it takes less work to do.
And that's how you find the volume and surface area of a Rectangular Prism.

Kiahna's Bob

Kiahna's Bob

Everything You know about Rectangular Prisms

Surface area of A Rectangular Prism
To figure this out you have to cut the box in half like so!
insert pic


then you have to do a formula for each side!
For the Front and the Back of the Box you have to use this formula Hieght x Length = ??
For the Right side and the Left side of the box you have to use the formula Height x Width = ??
For the bottom and top you have to use the formula Length x Width = ??
then for each of them yuo multiply it by two and that is your answer
Now that we know all of this lets give out the numbers Hieght is 10cm the Length is 5cm and the width is 2 cm.

so lets figure it out

Font and Back side: h x L = 10cm x 5cm x 2 = 100cm
Right and left side: H x W = 10cm x 2cm x 2 = 400cm
Bottom and Top: L x W = 5cm x 2cm x 2 = 100cm

Now you add it all together to get the surface area 50cm+20cm+10cm= 80cm²


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Volume of a Rectangular prism

to find the volume you have to do length x width x hieght =

or you can do base x hieght =

so the measurments are length 3cm height 5cm width is 1cm

so L x W x H = 15 cm thirds

Danica's bob