Artie made a solid wooden block as shown in the diagram below. He will paint all surfaces of the block.
What will be the total painted surface area of the block?
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OpenStudy (anonymous):
OpenStudy (eyust707):
now instead of doing volume, we are doing area
OpenStudy (anonymous):
yes
OpenStudy (eyust707):
now instead of using three number times each other we use two
OpenStudy (anonymous):
because it is squared
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OpenStudy (eyust707):
correct!
OpenStudy (eyust707):
there are 6 "faces" to that shape
OpenStudy (eyust707):
we need to find the area of each one then add them all together
OpenStudy (anonymous):
k...
OpenStudy (anonymous):
you find regular area, right?
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OpenStudy (anonymous):
like 12 times 4=48?
OpenStudy (eyust707):
yep thats the first one
OpenStudy (eyust707):
5 more...
OpenStudy (anonymous):
there are two trapezoids...
OpenStudy (eyust707):
correct
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OpenStudy (anonymous):
and three other rectangles...
OpenStudy (eyust707):
lets do the three rectangle first..
OpenStudy (anonymous):
so another 12 times 4=48?
OpenStudy (anonymous):
48+48=96
OpenStudy (eyust707):
nope
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OpenStudy (anonymous):
oh man
OpenStudy (eyust707):
wheres the other 12 x 4???
OpenStudy (anonymous):
I thought it would magically appear on the other side...
OpenStudy (eyust707):
nope its slanted so its longer
OpenStudy (eyust707):
but they tell you what it is
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OpenStudy (anonymous):
12 times 5?
OpenStudy (eyust707):
correct!
OpenStudy (anonymous):
12 times 5=60+48=108
OpenStudy (eyust707):
good
OpenStudy (anonymous):
12 times 7=84?
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OpenStudy (eyust707):
yes
OpenStudy (anonymous):
84+108=192
OpenStudy (eyust707):
yep
OpenStudy (anonymous):
12 times 10=120?
OpenStudy (eyust707):
yes
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OpenStudy (anonymous):
120+192=312
OpenStudy (eyust707):
correct
OpenStudy (eyust707):
now the two trapezoids
OpenStudy (anonymous):
the leg of the first trapezoid is 5 while the base is 10?
OpenStudy (anonymous):
at least one of the bases...
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OpenStudy (eyust707):
no
OpenStudy (eyust707):
one leg is 10.. but the other is...
OpenStudy (anonymous):
5 is the base then?
OpenStudy (eyust707):
|dw:1340151496583:dw|
OpenStudy (anonymous):
are there two legs or two bases?
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OpenStudy (eyust707):
5 is the slant
OpenStudy (anonymous):
5 is the height?
OpenStudy (eyust707):
on the other side of the shape they give us the other two dimensions...
OpenStudy (anonymous):
7 is the other leg?
OpenStudy (eyust707):
yes!
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