What is the surface area of the composite figure?
Link:
http://learn.flvs.net/webdav/assessment_images/educator_math2/v9/07_TB_20_100.jpg
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OpenStudy (anonymous):
A. 256
B. 384
C. 512
D. 544
OpenStudy (jdoe0001):
url requres login
OpenStudy (anonymous):
?
OpenStudy (anonymous):
OpenStudy (anonymous):
@jdoe0001 now?
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OpenStudy (jdoe0001):
notice your shapes, both figures are just 2 rectangular "tubes"
each is really just 6 rectangles stacked up to each other at the edges
so get the area of each of the rectangles and sum them up
OpenStudy (jdoe0001):
OpenStudy (anonymous):
sorry i lost connection
OpenStudy (anonymous):
i got 160 and 416
OpenStudy (anonymous):
@jdoe0001
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OpenStudy (jdoe0001):
i got 160 and 416 \(\checkmark\)
OpenStudy (jdoe0001):
so the Area of the whole shape, will be their sum, that is 160 + 416
OpenStudy (anonymous):
but what about inteior faces
OpenStudy (anonymous):
interior*
OpenStudy (jdoe0001):
hmmm
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OpenStudy (jdoe0001):
yes, you're right, you'd need to subtract half of the top rectangle for the small one
and that same quantity to the bigger one, since that interior part, of where they join, do not Surface out
that'd be a 4x4 and a 4x4
so... (160 - 4 * 4) + (416 - 4*4) => 160-16+416-16 => 144 + 400
OpenStudy (anonymous):
thank you, I tried many times but somehow it didnt work