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InsanityxP
 3 years ago
What is the surface area of the composite figure?
~Attachment in comments~
InsanityxP
 3 years ago
What is the surface area of the composite figure? ~Attachment in comments~

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Shane_B
 3 years ago
Best ResponseYou've already chosen the best response.1Take it in pieces and sum up the values at the end. It's going to be:\[SA_{bottom}+4SA_{side}+4SA_{triangle~side}\]

Shane_B
 3 years ago
Best ResponseYou've already chosen the best response.1If you're stumped on this let me know and I'll walk you through it.

InsanityxP
 3 years ago
Best ResponseYou've already chosen the best response.0It would help if you could walk me through it, please?

Shane_B
 3 years ago
Best ResponseYou've already chosen the best response.1Ok, the bottom of the figure is a square with 6mm sides right? Well, the SA of a square is just side*side: \[6mm*6mm=36mm^2\]

Shane_B
 3 years ago
Best ResponseYou've already chosen the best response.1The sides are rectangles so it's basically SA = LW:\[7mm*6mm=42mm^2\]

Shane_B
 3 years ago
Best ResponseYou've already chosen the best response.1The top parts are just triangles with a 6mm base and a height of 4mm. The SA of a triangle is (1/2)bh:\[\frac{(6mm)(4mm)}{2}=12mm^2\]

Shane_B
 3 years ago
Best ResponseYou've already chosen the best response.1Now use the first equation I posted which sums it all up to get the total surface area. If you work it out I'll doublecheck your answer.

InsanityxP
 3 years ago
Best ResponseYou've already chosen the best response.0For some reason I've got 90 mm^2 but that's not even close to one of the answers I have :/

Shane_B
 3 years ago
Best ResponseYou've already chosen the best response.1I think I lost you...here:\[SA_{total}=SA_{bottom}+4SA_{side}+4SA_{triangle~side}\]\[SA_{total}=36+4(42)+4(12)=?\]

Shane_B
 3 years ago
Best ResponseYou've already chosen the best response.1There's no magic formula when doing these types of problems. You just take the individual areas and sum them up at the end.
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