The prism has a surface area of 202 ft2.
What would the surface area of the prism be if each dimension were tripled?
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OpenStudy (mathstudent55):
In the previous problem, we dealt with volume.
When the side doubled (x 2), the volume became 216/27 = 8 times bigger.
When the side became 2 times larger, the volume became 2^3 times larger.
With area, when the side increases by k times, the area increases by k^2 times.
OpenStudy (vickyisthesmartone123):
202/2
OpenStudy (mathstudent55):
Once again.
In two figures, if the scale factor is k, the volume becomes k^3 times the original volume.
The area becomes k^2 times the original area.
OpenStudy (vickyisthesmartone123):
so you times all the sides and then add them
OpenStudy (mathstudent55):
The original area here is 202 ft^2.
The scale factor is 3. That is what tripling means.
That means the area becomes 2^2 times larger than it was.
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OpenStudy (mathstudent55):
gtg
i'll be back in about 15-20 minutes
OpenStudy (vickyisthesmartone123):
so 202*2 right?
OpenStudy (dan815):
ah okay
OpenStudy (dan815):
here is a good way to look at it
OpenStudy (dan815):
lets say the prism has dimensions
w,L,h, for width length and height
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OpenStudy (vickyisthesmartone123):
ok
OpenStudy (vickyisthesmartone123):
is it 1818???
OpenStudy (dan815):
look at one of the rectangular sides
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