## crystal1 3 years ago 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

1. jim_thompson5910

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

2. crystal1

thank you

3. jim_thompson5910

you're welcome

4. crystal1

what ^ means

5. jim_thompson5910

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

6. jim_thompson5910

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

7. crystal1

oh ok lol

8. jim_thompson5910

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

9. crystal1

so the correct answer is b

10. jim_thompson5910

no

11. jim_thompson5910

2^2 = ???

12. crystal1

oh c

13. jim_thompson5910

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

14. crystal1

thanks for the medal and hellp

15. jim_thompson5910

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