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Mathematics 22 Online
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?

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

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

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

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?

OpenStudy (anonymous):

or nvm np

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