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Mathematics 15 Online
OpenStudy (anonymous):

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

OpenStudy (anonymous):

A. 256 B. 384 C. 512 D. 544

OpenStudy (jdoe0001):

url requres login

OpenStudy (anonymous):

?

OpenStudy (anonymous):

OpenStudy (anonymous):

@jdoe0001 now?

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

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

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

OpenStudy (jdoe0001):

yw

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