SOLUTION: please could someone help me with this question? A tea connoisseur has a collection of teapots that are scaled versions of the same design. The one-cup teapot is 10cm high. Choo

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Question 212412: please could someone help me with this question?
A tea connoisseur has a collection of teapots that are scaled versions of the same design. The one-cup teapot is 10cm high. Choose the TWO options that are true statements.
A The two-cup teapot is 20cm high
B The eight-cup teapot is 20cm high.
C The nine-cup teapot is 30cm high.
D The 25cm high teapot is appropriate to make 20 cups of tea.
E The 16cm teapot is appropriate to make 4 cups of tea.
Thank you very much
Dawn
Answer by vleith(2983) About Me  (Show Source):
You can put this solution on YOUR website!
The amount of tea is a volume. So, in order to scale, each of three dimensions must scale in the same ratio as the single dimension you are given.
All that ends up saying is "the change in volume is the cube of the change in a single dimension".
For instance, if the pot is changed from 10cm to 20cm, then the scale has doubled. So you need to cube that to get the volume. Thus, a 20cm high pot will brew %2820%2F10%29%5E3 = 8 cups.
A 30cm high pot will brew %2830%2F10%29%5E3+=+27 cups
Do that same type of conversion and you can find the two answers that "fit".
If you can't get them, let me know.