Mathematics
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OpenStudy (ayee_ciera):
Find the Surface Area of the Prism
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OpenStudy (ayee_ciera):
OpenStudy (anonymous):
yay more EZ questions :D
OpenStudy (acxbox22):
find the area of all the faces and add them up for surface area
OpenStudy (anonymous):
ok what is the base times height for the triangles on the sides
OpenStudy (ayee_ciera):
15 and 8 are the base and height
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OpenStudy (anonymous):
ok now multiply those together and well get the area for both of the triangle sides
OpenStudy (anonymous):
then we have the back face of the prism which would be 8*5=?
OpenStudy (ayee_ciera):
40
OpenStudy (anonymous):
now we have to find the area of the bottom and top faces their dimensions being 15*5 and 17*5
OpenStudy (ayee_ciera):
15*5=75 17*5=85
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OpenStudy (anonymous):
Then add up the areas of all the sides and you'll get the lateral area of the prisim!
OpenStudy (acxbox22):
15 x 8 + 15 x 8 + 8 x 5 + 15 x 5 + 17 x 5 = ??
OpenStudy (ayee_ciera):
518
OpenStudy (anonymous):
So you do \[120+40+75+85=?\] and you'll have the area of the prisim
OpenStudy (ayee_ciera):
=320
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OpenStudy (anonymous):
Yep thats right! :D
OpenStudy (acxbox22):
no you have to add 120 twice cuz there are two of them
OpenStudy (ayee_ciera):
can u help me with some more
OpenStudy (anonymous):
no when you find the area of the area of a triangle you divide i half once you do the B*H
we just did the B*H and skipped dividing @acxbox22
OpenStudy (anonymous):
yah ill help with more :)
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OpenStudy (ayee_ciera):
yay thank u
OpenStudy (ayee_ciera):
find the surface area
OpenStudy (anonymous):
ok first lets do 8*13*2
OpenStudy (anonymous):
thats for the top and bottom faces all in one go
OpenStudy (ayee_ciera):
=208
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OpenStudy (acxbox22):
Oh yeah @Ignaris i forgot thanks :P
OpenStudy (anonymous):
yep now do 7*8*2 for the left and right sides
OpenStudy (ayee_ciera):
=112
OpenStudy (anonymous):
Correct now 13*7*2 for the front and back faces
OpenStudy (ayee_ciera):
=182
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OpenStudy (anonymous):
yep now add them all together and you'll have the surface area
OpenStudy (ayee_ciera):
208+112+182=502
OpenStudy (anonymous):
you got it!
OpenStudy (ayee_ciera):
find the lateral area of the cylinder
OpenStudy (ayee_ciera):
@Ignaris
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OpenStudy (anonymous):
The equation for the lateral area of a Cylinder is
\[A _{L}=2*\pi*r*h\]
so we plug in our terms and get
\[Lateral Area=2*\pi*7*9=?\]
OpenStudy (ayee_ciera):
=395.64
OpenStudy (anonymous):
your decimal is off by a bit the answer is 395.84
OpenStudy (ayee_ciera):
so if we round it then it would be 396 ??
OpenStudy (anonymous):
yep
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OpenStudy (ayee_ciera):
use the net to find the lateral area of the cylinder
OpenStudy (anonymous):
Use the same base Equation we used in the last question
\[Lateral Area=2*\pi*r*h\]
OpenStudy (anonymous):
a net of any shape is just the shape unfolded
OpenStudy (ayee_ciera):
2*3.14*6*7
OpenStudy (anonymous):
yep
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OpenStudy (ayee_ciera):
=263.76
OpenStudy (anonymous):
now round up if needed
OpenStudy (ayee_ciera):
use the net to find the surface area of the prism
OpenStudy (ayee_ciera):
@Ignaris
OpenStudy (anonymous):
ok answer these seprately
1. 9*8
2. 9*15
3. 9*17
4. 8*15
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OpenStudy (ayee_ciera):
1 72
2 135
3 153
4 120
OpenStudy (anonymous):
now add them all up and you'll have the lateral area of the prisim
OpenStudy (ayee_ciera):
480
OpenStudy (anonymous):
yep
OpenStudy (anonymous):
how many more?
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OpenStudy (ayee_ciera):
4 more
OpenStudy (anonymous):
ok lets go! :D
OpenStudy (ayee_ciera):
use the net to find the surface area of the prism
OpenStudy (anonymous):
11*6*2
8*11*2
6*8*2
do those then add them together
OpenStudy (ayee_ciera):
132+176+96= 404
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OpenStudy (anonymous):
yep :D
OpenStudy (ayee_ciera):
use the net to find the surface area of the cylinder
give ur answer in terms of pie
OpenStudy (anonymous):
just like before
\[LateralArea=2∗π∗r∗h\]
OpenStudy (ayee_ciera):
2*3.14*5*7 = 219.8
OpenStudy (anonymous):
that rounded up is 220 :D
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OpenStudy (ayee_ciera):
find the surface area
OpenStudy (anonymous):
3*4
3*12
4*12
5*12
then add them up
OpenStudy (ayee_ciera):
12+36+48+60=156
OpenStudy (anonymous):
By George hes got it!
OpenStudy (ayee_ciera):
find the surface area
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OpenStudy (anonymous):
you try doing this one on your own then post the answer and ill tell you if you get it wrong. :D
OpenStudy (anonymous):
or right!
OpenStudy (ayee_ciera):
196+84+168=448
OpenStudy (anonymous):
you got it :D yay
OpenStudy (anonymous):
please close the question if you are done!
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OpenStudy (ayee_ciera):
thank u for the help (:
OpenStudy (anonymous):
Your welcome :D