A prism has a surface area of 176 cm2.
What is the surface area of a scaled image with a scale factor of 1 half?
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OpenStudy (anonymous):
what is the formula 4 scale factor??
OpenStudy (alexandervonhumboldt2):
you can use an easy type of prism, which will have surf area :2(ab+ac+bc), where a, b,c are its height, length and width. In scaled image u will have 2(0.5a*0.5b+0.5a*0.5c+0.5b*0.5c) count this and see in what ratio is new surf area is smaller than in original figure
OpenStudy (alexandervonhumboldt2):
there is no exact formula
OpenStudy (anonymous):
what do u use 4 this?
OpenStudy (anonymous):
hi?
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OpenStudy (alexandervonhumboldt2):
if u have a rectangular prism, its surface area will be counted as: (a-width, b-length, c-height)
A=2(ab+bc+ac)
now, u have an image with sides 0.5a, 0.5b and 0.5c. the surf area of scaled image will be
2(0.25ab+0.25ac+0.25bc). Now divide second A by first A.
you will get 0.25 as the ratio.
OpenStudy (alexandervonhumboldt2):
second figure has surface area 4 times smaller than original has
OpenStudy (anonymous):
what is A= to?
OpenStudy (anonymous):
u there??
OpenStudy (alexandervonhumboldt2):
a is surface area. just divide 176 by 4.
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OpenStudy (alexandervonhumboldt2):
and get your answer
OpenStudy (anonymous):
ok thank u
OpenStudy (alexandervonhumboldt2):
also if i'm away you can tag me by @AlexandervonHumboldt2
like @Kiki_F