## evergirl 3 years ago What is the similarity ratio of two cubes with volumes of 64 cubic centimeters and 125 cubic centimeters?

1. JuanitaM

64 : 125 cube both sides 4: 5

2. evergirl

cube 4 and 5?

3. evergirl

4. JuanitaM

no take the cube of 64 and 125 in order to get 4 and 5 respectively. yes. 4 and 5 are the answers.

5. JuanitaM

remeber ratios are like simplified equivalents. as long as you do the same to both numbers

6. evergirl

Oh okay. Thanks.

7. evergirl

I kind a get it. I'm not 100% sure of what you said but sort of.

8. evergirl

your saying 64^3 and 125^3 = 4:5?

9. JuanitaM

|dw:1330624579590:dw|

10. evergirl

oh the square root! Thank you okay I get it. Sorry I'm a more visual learner. Thank you!

11. JuanitaM

no cube root - that is a 3 not 2

12. evergirl

13. JuanitaM

Np - as long as you understand it :)

14. evergirl

I have another question: A rectangular prism is truncated removing 20% of its height. The original height of the prism was 100 inches and it has a length of 5 inches and a width of 10 inches. What is the volume of the truncated prism?

15. evergirl

I don't get what this question is asking me.

16. JuanitaM

|dw:1330624864488:dw|

17. JuanitaM

first, note the issue with height - it was orgiinally 100 and was reduced by 20% to 80

18. JuanitaM

lenght and width were not reduced now just plug into the equation and you will get your volume

19. evergirl

uh huh I'm following

20. JuanitaM

v = 80*5*10

21. evergirl

22. evergirl

horray! thank you its 4,000 inches cubed

23. evergirl

am i right?

24. evergirl

Alright I have another question:A triangular prism has a volume of 10 cm3. If each dimension of the prism is multiplied by four, what is the new volume of the prism?

25. JuanitaM

:) yes you are correct

26. evergirl

awesome :)

27. evergirl

Can you help me solve this: A triangular prism has a volume of 10 cm3. If each dimension of the prism is multiplied by four, what is the new volume of the prism?

28. JuanitaM

|dw:1330625413364:dw|

29. evergirl

Thanks, btw what does ach stand for?

30. JuanitaM

lenght, width, height

31. evergirl

Okay thanks.

32. evergirl

Gotta another one for you: Each dimension of a rectangular prism is increased by 10%. What percent of the original volume is the volume of the new prism?

33. JuanitaM

|dw:1330625924711:dw|

34. evergirl

thank u!

35. JuanitaM

uw

36. evergirl

I have one more and I just need and example of what how to do this so I can create my own authentic answer. Okay here it is:Part 1: Create and provide the dimensions for two similar figures of your choosing. Part 2: What is the similarity ratio of these figures along with the ratio of their surface area and volume? Part 3: Show your work, either using the actual volumes or using the formula, that the volume ratio is true.

37. JuanitaM

1. easier is rectangular prism make the dimenstions of one and then multiply by 2 to get the dimeensions of the 2nd one

38. evergirl

Ok so something like this?|dw:1330626458327:dw|

39. JuanitaM

yes

40. evergirl

And that's part one?

41. evergirl

okay that was easy. but how about part 2?

42. evergirl

Part 2: What is the similarity ratio of these figures along with the ratio of their surface area and volume?

43. JuanitaM

set up ratios of L W H for both figures answers will simplfy to 1: 2

44. evergirl

So you're saying the ratios of both of these prisms is 1:2? Because is twice as big as the other?

45. JuanitaM

yesyes - all sides are ahve that same ratios since you multiple all sides by 2

46. evergirl

ok

47. evergirl

so i guess that only leaves part tres

48. evergirl

Here it is in case you don't remember: Part 3: Show your work, either using the actual volumes or using the formula, that the volume ratio is true.

49. evergirl

Wait one second please. Before we go on to three I think there's one thing we didn't finish answering in two. That was: What was the ratio of their surface area and volume?

50. evergirl

(the two rectangular prisms)

51. evergirl

I think you said that their similarity ratio was 1 : 2. But now I have to find the ratio of their surface area and volume.

52. Moonlight10198

I'm doing the same thing now and thank you but evergirl it's kinda cheating when you ask for every single question... lol but I guess google isn't that fair either ;P