crystal1
The ratio of the heights of two similar rectangular prisms is 2:3. What is the ratio of their lateral areas?
8:27
2:5
4:9
1:0.33



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jim_thompson5910
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If the ratio of two sides is
x:y
then the ratio of the surface areas is
x^2:y^2

crystal1
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thank you

jim_thompson5910
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you're welcome

crystal1
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what ^ means

jim_thompson5910
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x^2 means \(\Large x^2\)

jim_thompson5910
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the ^ tells the next number to go up and become an exponent

crystal1
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oh ok lol

jim_thompson5910
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sry I should have been more clear, let me know what you get for the answer

crystal1
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so the correct answer is b


jim_thompson5910
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2^2 = ???

crystal1
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oh c

jim_thompson5910
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yes, 2^2 = 4 and 3^2 = 9
so if the sides are in ratio of 2:3, then the surface areas are in ratio of 4:9

crystal1
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thanks for the medal and hellp

jim_thompson5910
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you're welcome, you earned it by getting the correct answer and you hopefully see how to get it?