Question

What is the surface area of the prism?

http://static.k12.com/calms_media/media/1422500_1423000/1422987/1/37d5308c403b03a44be0491b7c49a3b51e326cb0/MS_PA_131002_171346.jpg

A.
138 yd2

B.
192 yd2

C.
264 yd2

D.
272 yd2

Answer 1

@mossyfish

Answer 2

1/2 *8 * 6 * 2
+
10 * 9 * 3
base + top + side +sdie +side
=triangle + triangle + rectangle * 3

Answer 3

Could you explain it more?

Answer 4

plz

Answer 5

Let's use the formula to solve this one as well.

Area (of a prism)=2b+ph

We first need to find the area of the base.

To find the area of the base, we multiply the side by the other side.
\[6*9=b\] What is b?

Answer 6

54

Answer 7

@jennaluv: One last warning: You may NOT simply post questions wait for others to do your work for you and provide you with answers. YOU need to be involved. You can ask questions about whatever you don't understand. Show your work, please, so that others can comment on it.

Answer 8

Great! Let's plug that into our equation.
\[A=2(54)+ph\]
What is our height and perimeter?

Answer 9

@mathmale
The only reason I am posting a question is because I dont understand it, and there wasn't very much information provided in my lesson

Answer 10

@jennaluv: that's all the more reason to ASK QUESTIONS. I can't believe you don't know at least something about these problems; build on what you know so that you can move forward. I hope you have read the explanations and examples provided in your online course.

Answer 11

A=2(54)+ph

What is our height and perimeter? Try answering mossyfish's question.

Answer 12

I'v looked at my shape a couple times and I dont see a height.

Answer 13

Im not sure how to find the perimeter of one of these shapes... do I find it like I would find any perimeter?

Answer 14

If I do then it would be 33

Answer 15

@jennaluv: MUCH BETTER! THANK YOU.

Answer 16

whoa... calm ur farm @mathmale ...its more the answerers fault here than the OP, but I don't and won't go into depth on how to find the area's of standard shapes like triangles and rectangles, so sorry about that, but it was more my bad than hers hey

Answer 17

@Jennaluv We have to find the perimeter of each side. Let's start with that 8x6 side. What's the perimeter of that triangle?

Answer 18

Look at the triangle at the end of the prism. The height is 8 and the base is...?

Answer 19

Thank's mathmale, I'v gotten mad at people for the same reason, like just posting the answer to a question... thanks btw

Answer 20

the base is 6

Answer 21

thanks for your understanding. mossyfish is doing fine guiding you towards finding your own answer. Good luck! Right! The base of the triangular end of the prism is indeed 6.

Answer 22

@Jennaluv remember that the base of a rectangle is one side x the other. 6*9 :)

Answer 23

54... so 8*6 is 48 so thats what the triangle is?

Answer 24

We don't need to find the area of the other triangle, remember that our equation is

\[A=2b+ph\]

We found our base and our height. So, our equation is now

\[A=2(54)+p(8)\]

Now we need to find the perimeter of the ENTIRE shape. Let's add up all of the sides, what do you get? (Don't forget the ones in the back!)

Answer 25

Okay, so do I add up all the numbers that are already there, or do I add up every side to find the perimeter?

Answer 26

Every side :) Do you need me to draw you a diagram so it's clearer?

Answer 27

Yes please :)

Answer 28

never mind I got it... 66

Answer 29

Hmm...Looks like you just added the numbers shown and multiplied by 2. We need to add every side. Here, I'll draw you a picture

Answer 30

We can't forget about the numbers in the back-- here, I drew them on. Does this make sense?

Answer 31

I didnt add the last 9... 75

Answer 32

@mossyfish ?

Answer 33

So

Answer 34

Hmm...Let me show you what I'm doing. (Maybe you're right, I'm not 100% certain about the perimeter now)

I'll start with the perimeter of this face.
8+6+10=24

Answer 35

Now I'll solve for the perimeter of this face.

9+10+9+10=38

Answer 36

Now let's solve our third side.
8+9+8+9=34

Answer 37

Its the same thing as the first one

Answer 38

And our last side is the same as our first, right?
8+6+10=24

Answer 39

Exactly! So, let's add all of these numbers up.
24+38+34+24=?

Answer 40

yes so 24

Answer 41

120! :)

Answer 42

Awesome!! Let's plug our perimeter (p) into our equation.
\[A=2(54)+(120)(8)\]
What is A?

Answer 43

Well, I have class now but just solve that equation and you have your answer!! Good luck, @Jennaluv :)

Answer 44

k thanks!