anonymous
  • anonymous
MEDAL AND FAN Find the total area (in terms of K) of the prism. T.A. =
Mathematics
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
https://gmcprep.owschools.com/media/g_geo_ccss_2014/8/groupi67.gif
anonymous
  • anonymous
@LynFran @mathstudent55
triciaal
  • triciaal
area of a prism is the sum of the area of each of the 6 sides

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welshfella
  • welshfella
what does p = 20" refer too?
anonymous
  • anonymous
@campbell_st
anonymous
  • anonymous
i think its the perimeter
triciaal
  • triciaal
oops this is not a regular prism. the area is still the sum of all the "faces' of the prism
welshfella
  • welshfella
oh yes - OK
triciaal
  • triciaal
|dw:1438285431890:dw|
triciaal
  • triciaal
surface area = 2*area of pentagon face + perimeter of pentagon face* height
welshfella
  • welshfella
area of the pentagon = 5 * area of each isosceles triangle with height k and base = p/5 = 20/5 = 4 = 5* k * 1/2 * 4
welshfella
  • welshfella
and the area of each lateral is 6*4
anonymous
  • anonymous
|dw:1438286011588:dw|
welshfella
  • welshfella
yes thats the length of each side of the pentagon
welshfella
  • welshfella
as tricial said you can find the area of all the lateral part by multiplying perimeter of pentagon by 6 = 20 * 6
welshfella
  • welshfella
do't forget you have 2 pentagons
anonymous
  • anonymous
whats the answer?
anonymous
  • anonymous
@welshfella @triciaal
welshfella
  • welshfella
the area is 2 * 5* k * 1/2 * 4 + 20* 6 all you need do is simplify
anonymous
  • anonymous
240?? @welshfella
welshfella
  • welshfella
you've forgotten to include the k
welshfella
  • welshfella
240 is the lateral area only
anonymous
  • anonymous
so 240*k?
welshfella
  • welshfella
No you need to work out the first term 2 * 5 * k * 1/2 * 4 = ?
welshfella
  • welshfella
if you prefer work out the numbers on your calculator then put k on the end
anonymous
  • anonymous
like =k?
welshfella
  • welshfella
this is the area of the 2 pentagons
welshfella
  • welshfella
no like 235k but the number isn't 235
anonymous
  • anonymous
the calculator says 0
welshfella
  • welshfella
2*5*(1/2)*4 is not 0
welshfella
  • welshfella
2*5 = 10 10 * 1/2 = 5 5 * 4 = ?
anonymous
  • anonymous
20
welshfella
  • welshfella
right so now it 20 * k + 240 = 20k + 240
anonymous
  • anonymous
k=12??
welshfella
  • welshfella
the question required TA in terms of k and there it is.
anonymous
  • anonymous
are you sure?
welshfella
  • welshfella
yes the answer is 20k + 240

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