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

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

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

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

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

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

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

Shane_B Group TitleBest ResponseYou've already chosen the best response.1
Now 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.
 2 years ago

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

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

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

InsanityxP Group TitleBest ResponseYou've already chosen the best response.0
252 mm^2?
 2 years ago

InsanityxP Group TitleBest ResponseYou've already chosen the best response.0
Thank you!
 2 years ago

Shane_B Group TitleBest ResponseYou've already chosen the best response.1
yw, good luck :)
 2 years ago
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