What is the surface area of the rectangular prism?

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What is the surface area of the rectangular prism?

Mathematics
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http://static.k12.com/calms_media/media/1576000_1576500/1576259/1/702b3e3ec079b37d9e6408c3398972de35032b83/MS_IMB-1401222-1120106.jpg
need help on this one and 2 more
Hi. The surface area of a right rectangular prism is: A = 2(wl + hl + hw), where A is area, w is width, h is height, and l is length.

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|dw:1433909333961:dw|
im cornfusssed
im not ''talented'' in math
It's okay! You're good enough. Practice makes perfect.
Let's start simply.
|dw:1433909454486:dw|
Can you tell me what the area is of that square?
area?
;-;
were u go? @IParke
|dw:1433909583762:dw|
|dw:1433909621965:dw|
|dw:1433909631013:dw|
oh i thought i got dicthed again lol im judt that bad at math
How many circles did I draw? Quickly!
9
And how did you know that?
3 times 3
or there are 3 rows of three circles
Excellent. Area works the same exact way.
Now imagine instead of 'circles' I drew 'inches'. Well, to get the total number of inches, it's the same way you calculated the number of circles I drew.
3 inches x 3 inches = 9 inches
Are you following?
oh so in the problum you times the sides?
Exactly. So in that square I drew, can you use the letters to tell me what my area should be?
|dw:1433909867708:dw|
4 times h?
Remember, you found 3x3 because 3 columns and 3 rows. Here I have w columns and h rows. w*h
Is this clear?
kinda [can we use numbers plz]
Yes, of course.
|dw:1433909978681:dw|
lol thx letters get me confused
No problem! It's not important here.
so 4times 6
Let's use the values I drew on the square friend ;)
wait no you times the 3
Let me show you why area is stuff like "inches squared" or "centimeters squared"
I think that will help you a lot.
probably lol
|dw:1433910092578:dw|
Quick! How many boxes?
24page froze srry
No problem. And you solved that how?
4 times 6
Exactly :D
isnt it lentgh times with
You are exactly correct.
heck to da chaaa
|dw:1433910316379:dw|
Now pay close attention to my magic.
I just changed "boxes" to "inches." Are you following?
ya
This answer here is 24 inches squared because, I have 24 squares that are inches.
[after this im goint to draw u a picture]
brb cat needs water
|dw:1433910438339:dw|
Sure, no problem. Look at the black box I just drew. The box is 1 inch by 1 inch, making it a square. There are 24 of these squares in my 6 inch by 4 inch area.
This is why it is called 24 inches "squared." I have 24 squares. Are you following?
yes
|dw:1433910623508:dw|
What is the surface area of the rectangular prism?
Let's get to that.
http://static.k12.com/calms_media/media/1576000_1576500/1576259/1/702b3e3ec079b37d9e6408c3398972de35032b83/MS_IMB-1401222-1120106.jpg
i know i just put it back over here so wedont have to scroll up lol
|dw:1433910836272:dw|
This is your rectangular prism, do you agree?
ya but its more wider
Mine isn't drawn to scale, but it will make it easier for me to draw on :)
so it throws me off
ok i understand
So, you know what surface area is? It's the area on the outside of this 3d shape.
ok so what we do first is leinght timess width?
|dw:1433911000222:dw|
Sure. Let's call 12 inches the length and 10 inches the width.
Do you see the area of this length times width? Can you calculate it?
ok sowe get 120
Excellent, we get 120 inches sq.
so we
so next we divide by 3?
|dw:1433911094878:dw|
No, we do not divide by 3.
aww
Do you see the area I shaded? What is the area of the shaded region?
i forgot the word [ive been doing nothing but math since 1;00 am
|dw:1433911203882:dw|
The top and bottom of this prism have the same length and width.
So they both have the same area. Can you see this?
We have 2 areas that are 12 times 10 = 120 inches squared.
ya
so we dived them 2?
We multiple them.
why multiply?
We have 2 areas with 120 inches squared. That equals 120 inches squared + 120 inches squared.
so 240
Remember that the top and bottom both have the same area. There's 2 of these areas on this prism :)
|dw:1433911367489:dw|
so after we get that answer we add them?
Is this clear?
yes it is get ready for take off
Great.
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