Mathematics
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OpenStudy (anonymous):
The area of the base of a prism is 55 mm2. The perimeter of the base is 30 mm. The height of the prism is 7 mm.
What is the surface area of the prism?
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OpenStudy (anonymous):
@VeritasVosLiberabit
OpenStudy (anonymous):
I remember this problem from someone else
OpenStudy (anonymous):
Is this the prism shape?
|dw:1400974912412:dw|
OpenStudy (anonymous):
It didn't show me any shape
OpenStudy (anonymous):
@VeritasVosLiberabit
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OpenStudy (anonymous):
It should give you an answer bank though
OpenStudy (anonymous):
yeah it did
A.
445 mm2
B.
320 mm2
C.
265 mm2
D.
92 mm2
OpenStudy (anonymous):
x+y=30:perimeter
xy=55:area
OpenStudy (anonymous):
so you already know the area of the base. Now you just need the area of a triangular face and a rectangular face
OpenStudy (anonymous):
ok
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OpenStudy (anonymous):
but to do this you need to first find the small length of the base by equating the area and perimeter equations
OpenStudy (anonymous):
I think the answer is 320
OpenStudy (anonymous):
\[y=30-x\]
x(30-x)=55
OpenStudy (anonymous):
show me your work
OpenStudy (anonymous):
give me a sec
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OpenStudy (anonymous):
i did 55 x 2 and got 110 then i multiplied the 30*7 to get 210 then i just added 110 + 210 getting 320. is that right?
OpenStudy (anonymous):
@VeritasVosLiberabit
OpenStudy (anonymous):
I'm not following that logic. but I think 320 is the right answer
OpenStudy (anonymous):
okay thanks!
OpenStudy (anonymous):
can you draw the shape?
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OpenStudy (anonymous):
or nvm np