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Sagot :
Model is same shape as original with scale factor 2:9.
Ratio of
a. Surface area of model and original is 4:81.
b. Height of model and original is 2:9.
c. Volume of model and original is 8:243.
As given,
Scale factor (a: b)=2:9
Ratio of model and original for
a. Surface area =a²: b²
=4:81
b. Height=a :b
=2:9
c. Volume=a³ :b³
=8:243
Therefore, model is same shape as original with scale factor 2:9.
Ratio of model and original for
a. Surface area is 4:81.
b. Height is 2:9.
c. Volume is 8:243.
The complete question is :
A designer builds a model of a canoe. the finished model is exactly the same shape as the original, but smaller. the scale factor is 2:9.
(a) find the ratio of the surface area of the model to the surface area of the original. (b) find the ratio of the height of the model to the height of the original. (c) find the ratio of the volume of the model to the volume of the original.
Learn more about surface area here
brainly.com/question/2835293
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