What is the surface area of the rectangular prism?

- randomecorner

What is the surface area of the rectangular prism?

- Stacey Warren - Expert brainly.com

Hey! We 've verified this expert answer for you, click below to unlock the details :)

- schrodinger

I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!

- randomecorner

http://static.k12.com/calms_media/media/1576000_1576500/1576259/1/702b3e3ec079b37d9e6408c3398972de35032b83/MS_IMB-1401222-1120106.jpg

- randomecorner

need help on this one and 2 more

- 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.

Looking for something else?

Not the answer you are looking for? Search for more explanations.

## More answers

- anonymous

|dw:1433909333961:dw|

- randomecorner

im cornfusssed

- randomecorner

im not ''talented'' in math

- anonymous

It's okay! You're good enough. Practice makes perfect.

- anonymous

Let's start simply.

- anonymous

|dw:1433909454486:dw|

- anonymous

Can you tell me what the area is of that square?

- randomecorner

area?

- randomecorner

;-;

- randomecorner

were u go? @IParke

- randomecorner

|dw:1433909583762:dw|

- randomecorner

|dw:1433909621965:dw|

- anonymous

|dw:1433909631013:dw|

- randomecorner

oh i thought i got dicthed again lol im judt that bad at math

- anonymous

How many circles did I draw? Quickly!

- randomecorner

9

- anonymous

And how did you know that?

- randomecorner

3 times 3

- randomecorner

or there are 3 rows of three circles

- anonymous

Excellent. Area works the same exact way.

- 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

3 inches x 3 inches = 9 inches

- anonymous

Are you following?

- randomecorner

oh so in the problum you times the sides?

- anonymous

Exactly. So in that square I drew, can you use the letters to tell me what my area should be?

- anonymous

|dw:1433909867708:dw|

- randomecorner

4 times h?

- anonymous

Remember, you found 3x3 because 3 columns and 3 rows. Here I have w columns and h rows. w*h

- anonymous

Is this clear?

- randomecorner

kinda [can we use numbers plz]

- anonymous

Yes, of course.

- anonymous

|dw:1433909978681:dw|

- randomecorner

lol thx letters get me confused

- anonymous

No problem! It's not important here.

- randomecorner

so 4times 6

- anonymous

Let's use the values I drew on the square friend ;)

- randomecorner

wait no you times the 3

- anonymous

Let me show you why area is stuff like "inches squared" or "centimeters squared"

- anonymous

I think that will help you a lot.

- randomecorner

probably lol

- anonymous

|dw:1433910092578:dw|

- anonymous

Quick! How many boxes?

- randomecorner

24page froze srry

- anonymous

No problem. And you solved that how?

- randomecorner

4 times 6

- anonymous

Exactly :D

- randomecorner

isnt it lentgh times with

- anonymous

You are exactly correct.

- randomecorner

heck to da chaaa

- anonymous

|dw:1433910316379:dw|

- anonymous

Now pay close attention to my magic.

- anonymous

I just changed "boxes" to "inches." Are you following?

- randomecorner

ya

- anonymous

This answer here is 24 inches squared because, I have 24 squares that are inches.

- randomecorner

[after this im goint to draw u a picture]

- randomecorner

brb cat needs water

- anonymous

|dw:1433910438339:dw|

- 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

This is why it is called 24 inches "squared." I have 24 squares. Are you following?

- randomecorner

yes

- randomecorner

|dw:1433910623508:dw|

- randomecorner

@IParke

- randomecorner

What is the surface area of the rectangular prism?

- anonymous

Let's get to that.

- randomecorner

- randomecorner

i know i just put it back over here so wedont have to scroll up lol

- anonymous

|dw:1433910836272:dw|

- anonymous

This is your rectangular prism, do you agree?

- randomecorner

ya but its more wider

- anonymous

Mine isn't drawn to scale, but it will make it easier for me to draw on :)

- randomecorner

so it throws me off

- randomecorner

ok i understand

- anonymous

So, you know what surface area is? It's the area on the outside of this 3d shape.

- randomecorner

ok so what we do first is leinght timess width?

- anonymous

|dw:1433911000222:dw|

- anonymous

Sure. Let's call 12 inches the length and 10 inches the width.

- anonymous

Do you see the area of this length times width? Can you calculate it?

- randomecorner

ok sowe get 120

- anonymous

Excellent, we get 120 inches sq.

- randomecorner

so we

- randomecorner

so next we divide by 3?

- anonymous

|dw:1433911094878:dw|

- anonymous

No, we do not divide by 3.

- randomecorner

aww

- anonymous

Do you see the area I shaded? What is the area of the shaded region?

- randomecorner

i forgot the word [ive been doing nothing but math since 1;00 am

- anonymous

|dw:1433911203882:dw|

- anonymous

The top and bottom of this prism have the same length and width.

- anonymous

So they both have the same area. Can you see this?

- anonymous

We have 2 areas that are 12 times 10 = 120 inches squared.

- randomecorner

ya

- randomecorner

so we dived them 2?

- anonymous

We multiple them.

- randomecorner

why multiply?

- anonymous

We have 2 areas with 120 inches squared. That equals 120 inches squared + 120 inches squared.

- randomecorner

so 240

- anonymous

Remember that the top and bottom both have the same area. There's 2 of these areas on this prism :)

- anonymous

|dw:1433911367489:dw|

- randomecorner

so after we get that answer we add them?

- anonymous

Is this clear?

- randomecorner

yes it is get ready for take off

- anonymous

Great.

- anonymous

|dw:1433911437373:dw|

- anonymous

What is the area of the part I just shaded?

- randomecorner

da 3

- anonymous

It has a height of 3 inches and a length of 10 inches.

- randomecorner

yep yep yep

- anonymous

So what is the answer?

- randomecorner

30?

- randomecorner

cuz 10 times 3

- anonymous

Yes! Exactly.

- randomecorner

yyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaasssssssssssssssssssssssssssssssssssssssssssssssssssssss!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!11

- anonymous

|dw:1433911567093:dw|