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Two mathematically similar frustums have heights of 20cm and 30cm.
The surface area of the smaller frustum is 450cm^2.
Calculate the surface area of the larger frustum.
 one year ago
 one year ago
Two mathematically similar frustums have heights of 20cm and 30cm. The surface area of the smaller frustum is 450cm^2. Calculate the surface area of the larger frustum.
 one year ago
 one year ago

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ZaraBest ResponseYou've already chosen the best response.1
I understand that you have to multiply the smaller frustum's height by 1.5 to get the larger frustum's height, so do you just have to multiply the smaller frustum's area by 1.5 as well?
 one year ago

asnaseerBest ResponseYou've already chosen the best response.1
If the two solids are /similar/ then their surface area will be in a ratio that is the square of the ratio of any of their linear dimensions (e.g. height ratios). Similarly, their volumes will be in a ratio that is the cube of their ratio of linear dimensions
 one year ago

ZaraBest ResponseYou've already chosen the best response.1
So you would do 450*1.5^2?
 one year ago

asnaseerBest ResponseYou've already chosen the best response.1
yes, but be careful with what you are squaring, it should be:\[450\times(1.5)^2\]
 one year ago

ZaraBest ResponseYou've already chosen the best response.1
Yup that's what I meant :) Gracias!
 one year ago
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