randomecorner
  • randomecorner
What is the surface area of the rectangular prism?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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randomecorner
  • randomecorner
http://static.k12.com/calms_media/media/1576000_1576500/1576259/1/702b3e3ec079b37d9e6408c3398972de35032b83/MS_IMB-1401222-1120106.jpg
randomecorner
  • randomecorner
need help on this one and 2 more
anonymous
  • anonymous
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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anonymous
  • anonymous
|dw:1433909333961:dw|
randomecorner
  • randomecorner
im cornfusssed
randomecorner
  • randomecorner
im not ''talented'' in math
anonymous
  • anonymous
It's okay! You're good enough. Practice makes perfect.
anonymous
  • anonymous
Let's start simply.
anonymous
  • anonymous
|dw:1433909454486:dw|
anonymous
  • anonymous
Can you tell me what the area is of that square?
randomecorner
  • randomecorner
area?
randomecorner
  • randomecorner
;-;
randomecorner
  • randomecorner
were u go? @IParke
randomecorner
  • randomecorner
|dw:1433909583762:dw|
randomecorner
  • randomecorner
|dw:1433909621965:dw|
anonymous
  • anonymous
|dw:1433909631013:dw|
randomecorner
  • randomecorner
oh i thought i got dicthed again lol im judt that bad at math
anonymous
  • anonymous
How many circles did I draw? Quickly!
randomecorner
  • randomecorner
9
anonymous
  • anonymous
And how did you know that?
randomecorner
  • randomecorner
3 times 3
randomecorner
  • randomecorner
or there are 3 rows of three circles
anonymous
  • anonymous
Excellent. Area works the same exact way.
anonymous
  • anonymous
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.
anonymous
  • anonymous
3 inches x 3 inches = 9 inches
anonymous
  • anonymous
Are you following?
randomecorner
  • randomecorner
oh so in the problum you times the sides?
anonymous
  • anonymous
Exactly. So in that square I drew, can you use the letters to tell me what my area should be?
anonymous
  • anonymous
|dw:1433909867708:dw|
randomecorner
  • randomecorner
4 times h?
anonymous
  • anonymous
Remember, you found 3x3 because 3 columns and 3 rows. Here I have w columns and h rows. w*h
anonymous
  • anonymous
Is this clear?
randomecorner
  • randomecorner
kinda [can we use numbers plz]
anonymous
  • anonymous
Yes, of course.
anonymous
  • anonymous
|dw:1433909978681:dw|
randomecorner
  • randomecorner
lol thx letters get me confused
anonymous
  • anonymous
No problem! It's not important here.
randomecorner
  • randomecorner
so 4times 6
anonymous
  • anonymous
Let's use the values I drew on the square friend ;)
randomecorner
  • randomecorner
wait no you times the 3
anonymous
  • anonymous
Let me show you why area is stuff like "inches squared" or "centimeters squared"
anonymous
  • anonymous
I think that will help you a lot.
randomecorner
  • randomecorner
probably lol
anonymous
  • anonymous
|dw:1433910092578:dw|
anonymous
  • anonymous
Quick! How many boxes?
randomecorner
  • randomecorner
24page froze srry
anonymous
  • anonymous
No problem. And you solved that how?
randomecorner
  • randomecorner
4 times 6
anonymous
  • anonymous
Exactly :D
randomecorner
  • randomecorner
isnt it lentgh times with
anonymous
  • anonymous
You are exactly correct.
randomecorner
  • randomecorner
heck to da chaaa
anonymous
  • anonymous
|dw:1433910316379:dw|
anonymous
  • anonymous
Now pay close attention to my magic.
anonymous
  • anonymous
I just changed "boxes" to "inches." Are you following?
randomecorner
  • randomecorner
ya
anonymous
  • anonymous
This answer here is 24 inches squared because, I have 24 squares that are inches.
randomecorner
  • randomecorner
[after this im goint to draw u a picture]
randomecorner
  • randomecorner
brb cat needs water
anonymous
  • anonymous
|dw:1433910438339:dw|
anonymous
  • anonymous
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.
anonymous
  • anonymous
This is why it is called 24 inches "squared." I have 24 squares. Are you following?
randomecorner
  • randomecorner
yes
randomecorner
  • randomecorner
|dw:1433910623508:dw|
randomecorner
  • randomecorner
@IParke
randomecorner
  • randomecorner
What is the surface area of the rectangular prism?
anonymous
  • anonymous
Let's get to that.
randomecorner
  • randomecorner
http://static.k12.com/calms_media/media/1576000_1576500/1576259/1/702b3e3ec079b37d9e6408c3398972de35032b83/MS_IMB-1401222-1120106.jpg
randomecorner
  • randomecorner
i know i just put it back over here so wedont have to scroll up lol
anonymous
  • anonymous
|dw:1433910836272:dw|
anonymous
  • anonymous
This is your rectangular prism, do you agree?
randomecorner
  • randomecorner
ya but its more wider
anonymous
  • anonymous
Mine isn't drawn to scale, but it will make it easier for me to draw on :)
randomecorner
  • randomecorner
so it throws me off
randomecorner
  • randomecorner
ok i understand
anonymous
  • anonymous
So, you know what surface area is? It's the area on the outside of this 3d shape.
randomecorner
  • randomecorner
ok so what we do first is leinght timess width?
anonymous
  • anonymous
|dw:1433911000222:dw|
anonymous
  • anonymous
Sure. Let's call 12 inches the length and 10 inches the width.
anonymous
  • anonymous
Do you see the area of this length times width? Can you calculate it?
randomecorner
  • randomecorner
ok sowe get 120
anonymous
  • anonymous
Excellent, we get 120 inches sq.
randomecorner
  • randomecorner
so we
randomecorner
  • randomecorner
so next we divide by 3?
anonymous
  • anonymous
|dw:1433911094878:dw|
anonymous
  • anonymous
No, we do not divide by 3.
randomecorner
  • randomecorner
aww
anonymous
  • anonymous
Do you see the area I shaded? What is the area of the shaded region?
randomecorner
  • randomecorner
i forgot the word [ive been doing nothing but math since 1;00 am
anonymous
  • anonymous
|dw:1433911203882:dw|
anonymous
  • anonymous
The top and bottom of this prism have the same length and width.
anonymous
  • anonymous
So they both have the same area. Can you see this?
anonymous
  • anonymous
We have 2 areas that are 12 times 10 = 120 inches squared.
randomecorner
  • randomecorner
ya
randomecorner
  • randomecorner
so we dived them 2?
anonymous
  • anonymous
We multiple them.
randomecorner
  • randomecorner
why multiply?
anonymous
  • anonymous
We have 2 areas with 120 inches squared. That equals 120 inches squared + 120 inches squared.
randomecorner
  • randomecorner
so 240
anonymous
  • anonymous
Remember that the top and bottom both have the same area. There's 2 of these areas on this prism :)
anonymous
  • anonymous
|dw:1433911367489:dw|
randomecorner
  • randomecorner
so after we get that answer we add them?
anonymous
  • anonymous
Is this clear?
randomecorner
  • randomecorner
yes it is get ready for take off
anonymous
  • anonymous
Great.
anonymous
  • anonymous
|dw:1433911437373:dw|