A certain type of Swiss chocolate comes in a package that's the shape of a triangular prism. If the perimeter of one of the triangular bases is 16 centimeters, what is the surface area of the entire package?
a. 164 cm2
b. 224cm2
c. 248 cm2
d. 272cm2
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OpenStudy (anonymous):
do you have any questions about openstudy i can help with?
OpenStudy (anonymous):
Well, yeah.
OpenStudy (anonymous):
what are your questions
OpenStudy (anonymous):
A certain type of Swiss chocolate comes in a package that's the shape of a triangular prism. If the perimeter of one of the triangular bases is 16 centimeters, what is the surface area of the entire package?
a. 164 cm2
b. 224cm2
c. 248 cm2
d. 272cm2
OpenStudy (anonymous):
Oops! I am so sorry. I was reading your question wrong!
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OpenStudy (anonymous):
its ook
OpenStudy (anonymous):
Well. How do you ask a new question?
OpenStudy (anonymous):
in the math section?
or another section
OpenStudy (anonymous):
In general
OpenStudy (anonymous):
Please someone I need help!
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OpenStudy (anonymous):
what you need help with
OpenStudy (anonymous):
A certain type of Swiss chocolate comes in a package that's the shape of a triangular prism. If the perimeter of one of the triangular bases is 16 centimeters, what is the surface area of the entire package?
a. 164 cm2
b. 224cm2
c. 248 cm2
d. 272cm2
OpenStudy (anonymous):
ok hold on
OpenStudy (anonymous):
Yep, thankyou so much.
terenzreignz (terenzreignz):
So many things to assume. One of them, hopefully, being the triangular base being an isosceles triangle.
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terenzreignz (terenzreignz):
So, assuming that, the formula for the surface area is vague at worst, but it always involves getting the area of each of the faces of your figure, then adding them all up.
OpenStudy (anonymous):
I don't know how to do that.
OpenStudy (anonymous):
do you know the surface area formula
OpenStudy (anonymous):
I think the formula is A =1 over 2bh
OpenStudy (anonymous):
The formula for the SA is SA = 2B +(s1 +s2 +s3)h am I right?
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OpenStudy (anonymous):
no
OpenStudy (anonymous):
What is it then?
OpenStudy (anonymous):
SA = wh + lw + lh + ls
OpenStudy (anonymous):
= width
h = height
l = length
s = side
OpenStudy (anonymous):
is the width 6cm?
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OpenStudy (anonymous):
yes correct
OpenStudy (anonymous):
so
SA = 6(4) + 14(6) +14(4) +14(?)
OpenStudy (anonymous):
What is the side?
OpenStudy (anonymous):
w=6,s=4,1=14
OpenStudy (anonymous):
SA = 6(4) + 14(6) +14(4) +14(5) is that correct?
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OpenStudy (anonymous):
wait are you with me
OpenStudy (anonymous):
Yeah, I am solving for the formula.
OpenStudy (anonymous):
Y? am I doing it wrong?
OpenStudy (anonymous):
no i didnt give you a height yet
OpenStudy (anonymous):
Oh, lol, sorry.
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OpenStudy (anonymous):
wait im doing it
OpenStudy (anonymous):
Doing what?
OpenStudy (anonymous):
the problem
OpenStudy (anonymous):
i work slow cause i get the right answer
OpenStudy (anonymous):
Area of two bases = 4 times 6 = 24
Area of bottom = 6 times 14= 84
Area of two sides = 2 times 5 times 14 = 140
Total area = 24+84+140=248
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OpenStudy (anonymous):
you were partly right
OpenStudy (anonymous):
Thank you for your help!
OpenStudy (anonymous):
np do you get it now
OpenStudy (anonymous):
yeah. Do you think you can answer one more question of mine?
OpenStudy (anonymous):
sure ask away
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OpenStudy (anonymous):
What is the approximate length of the lateral surface for the cylinder shown here in net form?
a. 31.4 in
b. 62.8 in
c. 78.5 in
d. 376.8 in
OpenStudy (anonymous):
ok hold on
OpenStudy (anonymous):
the lateral surface of the cylinder=(area of the circle base) times (height of cylinder).
OpenStudy (anonymous):
u there
OpenStudy (anonymous):
Yes. So, how do you find the area of a circle?
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OpenStudy (anonymous):
the 10 is the diameter. The area of the circle base is pi*diameter of the circle
OpenStudy (anonymous):
31.4 is the area of the circle.
OpenStudy (anonymous):
So, 31.4 * 12 = 376.8
OpenStudy (anonymous):
correct good job your doing good
OpenStudy (anonymous):
anything else
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OpenStudy (anonymous):
Yes, I think one more. (thank you soooo much, i really really appreciate it!!!)
OpenStudy (anonymous):
no problem
OpenStudy (anonymous):
ask away
OpenStudy (anonymous):
What is the surface area this storage box?
a. 15.625 ft ^2
b. 18.75 ft ^2
c. 37.5 ft ^2
d. 45 ft ^2
OpenStudy (anonymous):
So, 6(2.5) ^2 = 15
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OpenStudy (anonymous):
wait no sry did it wrong hold on this is what happens when you dont take your time
OpenStudy (anonymous):
Lol, its okay, that is what I got at first, and I am stuck on it.
OpenStudy (anonymous):
each side is a square of length 2.5 and so area 2.52 there are 6 sides so you want 6×2.52
OpenStudy (anonymous):
Where did 2.52 come from, isn't it just 2.5?
OpenStudy (anonymous):
so it would be 2.5^2*6
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OpenStudy (anonymous):
so its A anything else
OpenStudy (anonymous):
2.5 times 2.5=6.25 times 6
OpenStudy (anonymous):
I am just checking if this is right. I got 495 m^2.
Calculate the surface area of this triangular prism.
a. 255 m^2
b. 360 m^2
c. 468 m^2
d. 495 m^2
OpenStudy (anonymous):
=37.5
OpenStudy (anonymous):
how did you get that? and that is not in one of the a,b,c,d option.
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OpenStudy (anonymous):
37.5ft^2
its C sry
OpenStudy (anonymous):
Ok, thank you.
OpenStudy (anonymous):
im doing the other one do you still need help or no
OpenStudy (anonymous):
and np
OpenStudy (anonymous):
Which other one?
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OpenStudy (anonymous):
495m^2
OpenStudy (anonymous):
Oh, you were doing the box, I thought you were doing the triangle prism.
OpenStudy (anonymous):
thats the one im doing
OpenStudy (anonymous):
So the triangle prism is, 495m^2? and the box is 37.5 ft ^2?
OpenStudy (anonymous):
im not sure about 495m^2 but the rest are right since you didnt give me time to finish the other one
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OpenStudy (anonymous):
Oh, sorry.
OpenStudy (anonymous):
well i got my own work to finish so yea
OpenStudy (anonymous):
just say yours is right
OpenStudy (anonymous):
sry bout that
OpenStudy (anonymous):
Its fine, you have been a lot of help! Thanks soo much again! Have a good rest of the day!
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