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Mathematics 15 Online
OpenStudy (anonymous):

I have been working on this for a half hour with no luck so any help would be appreciated! A manufacturer is designing special packaging for a product in the shape of a truncated pyramid. A truncated pyramid is a pyramid with the top cut off. The model he is building is shown in the figure with the measurements. The bases are not regular figures. The lateral sides are trapezoids. The height of each trapezoidal face is 12 cm. Determine the amount of material needed to build the model (assuming no overlap on the sides). here is the photo: http://imageshack.us/content_round.php?page=done&l=img

OpenStudy (amistre64):

bad link

OpenStudy (anonymous):

yea

OpenStudy (anonymous):

sorry don't know why it cut it off

OpenStudy (amistre64):

better, now i gotta remember what the question is :)

OpenStudy (amistre64):

surface area right?

OpenStudy (amistre64):

you have 2 trianlges to areate; and 3 sides

OpenStudy (amistre64):

the face height is 12 ...

OpenStudy (anonymous):

sorry don't know why it cut it off

OpenStudy (anonymous):

yes it is asking for the surface area

OpenStudy (amistre64):

the area of a side is the average of the bases times face height

OpenStudy (amistre64):

(3+6)/2 = 9 9*12 = 108 for the surface area, but thats from memory and could be wrong

OpenStudy (anonymous):

i got 156

OpenStudy (anonymous):

is that right?

OpenStudy (anonymous):

actually nvm one more calc i forgot

OpenStudy (anonymous):

246

OpenStudy (anonymous):

if that's not is sorry i dont know

OpenStudy (anonymous):

its says the surface area of a regular pyramid is SA=(1.2)pl where p is the perimeter of the base and l is the slant height

OpenStudy (anonymous):

sorry Sa=(1.2)pl+B where B is the area of the base

OpenStudy (anonymous):

i got that by bottom (24) top (6) front (90) +right side back (72) and left side back 54

OpenStudy (amistre64):

your bases are 3,4, 5 and 6,8,10 ------- (9,12,15) 12 = (108,144, 180)/2 = 54 + 72 + 90 54 + 72 + 90 ---- 216 for the sides

OpenStudy (akshay_budhkar):

Such a big question!!

OpenStudy (amistre64):

plus the area of the triangles; 3*4 = 12/2 = 6 6*8 = 48/2 = 24 ---- 30 216 30 ----- 246

OpenStudy (anonymous):

HA! i got it first

OpenStudy (amistre64):

you did, but im impressed that i got it at all ;)

OpenStudy (anonymous):

lol nah u are legend

OpenStudy (akshay_budhkar):

lol guys fighting for who came first!!

OpenStudy (akshay_budhkar):

I DID!! lol

OpenStudy (anonymous):

thats what I got too but I felt like maybe it was wrong without the slant height but I didn't know what to do

OpenStudy (amistre64):

face height is what was important i think; without that it would have been trickier

OpenStudy (anonymous):

ok cool I'll go with it

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