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What is the surface area of the composite figure?
~Attachment in comments~
 one year ago
 one year ago
What is the surface area of the composite figure? ~Attachment in comments~
 one year ago
 one year ago

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Shane_BBest 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:\[SA_{bottom}+4SA_{side}+4SA_{triangle~side}\]
 one year ago

Shane_BBest ResponseYou've already chosen the best response.1
If you're stumped on this let me know and I'll walk you through it.
 one year ago

InsanityxPBest ResponseYou've already chosen the best response.0
It would help if you could walk me through it, please?
 one year ago

Shane_BBest 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: \[6mm*6mm=36mm^2\]
 one year ago

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

Shane_BBest 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:\[\frac{(6mm)(4mm)}{2}=12mm^2\]
 one year ago

Shane_BBest 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.
 one year ago

InsanityxPBest 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 :/
 one year ago

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

Shane_BBest 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.
 one year ago
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