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Mathematics 14 Online
OpenStudy (anonymous):

A prism has a right triangle as its base with a hypotenuse that measures 10 meters and legs that measure 6 meters and 8 meters. What is the surface area of this prism if the height of the prism is 8 meters?

OpenStudy (anonymous):

wasup?

OpenStudy (anonymous):

any tips?

OpenStudy (kinggeorge):

Like usual, let's see where you can get by yourself first. Recall there will a top, a bottom, and three sides.

OpenStudy (anonymous):

well

OpenStudy (anonymous):

the perimeter of the base would be 24

OpenStudy (anonymous):

then you multiply the base by 8

OpenStudy (anonymous):

that gives you 192

OpenStudy (anonymous):

then...

OpenStudy (kinggeorge):

True, but we want the area. What's the area of a 6-8-10 triangle?

OpenStudy (anonymous):

24

OpenStudy (kinggeorge):

Perfect. How many of these do we have in the prism?

OpenStudy (anonymous):

so 24+24+192=240?

OpenStudy (anonymous):

I think there is only two

OpenStudy (kinggeorge):

Perfect. That's actually a faster way than how I was doing it.

OpenStudy (anonymous):

that it?

OpenStudy (kinggeorge):

That's it.

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