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Mathematics 8 Online
OpenStudy (vickyisthesmartone123):

The prism has a surface area of 202 ft2. What would the surface area of the prism be if each dimension were tripled?

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.

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

OpenStudy (vickyisthesmartone123):

ok

OpenStudy (vickyisthesmartone123):

is it 1818???

OpenStudy (dan815):

look at one of the rectangular sides |dw:1429811814487:dw|

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