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evergirl

  • 2 years ago

What is the similarity ratio of two cubes with volumes of 64 cubic centimeters and 125 cubic centimeters?

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  1. JuanitaM
    • 2 years ago
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    64 : 125 cube both sides 4: 5

  2. evergirl
    • 2 years ago
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    cube 4 and 5?

  3. evergirl
    • 2 years ago
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    Wait your saying 4:5 is the answer? How'd you get it?

  4. JuanitaM
    • 2 years ago
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    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
    • 2 years ago
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    remeber ratios are like simplified equivalents. as long as you do the same to both numbers

  6. evergirl
    • 2 years ago
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    Oh okay. Thanks.

  7. evergirl
    • 2 years ago
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    I kind a get it. I'm not 100% sure of what you said but sort of.

  8. evergirl
    • 2 years ago
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    your saying 64^3 and 125^3 = 4:5?

  9. JuanitaM
    • 2 years ago
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    |dw:1330624579590:dw|

  10. evergirl
    • 2 years ago
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    oh the square root! Thank you okay I get it. Sorry I'm a more visual learner. Thank you!

  11. JuanitaM
    • 2 years ago
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    no cube root - that is a 3 not 2

  12. evergirl
    • 2 years ago
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    right sorry I made typo

  13. JuanitaM
    • 2 years ago
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    Np - as long as you understand it :)

  14. evergirl
    • 2 years ago
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    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
    • 2 years ago
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    I don't get what this question is asking me.

  16. JuanitaM
    • 2 years ago
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    |dw:1330624864488:dw|

  17. JuanitaM
    • 2 years ago
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    first, note the issue with height - it was orgiinally 100 and was reduced by 20% to 80

  18. JuanitaM
    • 2 years ago
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    lenght and width were not reduced now just plug into the equation and you will get your volume

  19. evergirl
    • 2 years ago
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    uh huh I'm following

  20. JuanitaM
    • 2 years ago
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    v = 80*5*10

  21. evergirl
    • 2 years ago
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    I got the answer!!!!

  22. evergirl
    • 2 years ago
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    horray! thank you its 4,000 inches cubed

  23. evergirl
    • 2 years ago
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    am i right?

  24. evergirl
    • 2 years ago
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    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
    • 2 years ago
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    :) yes you are correct

  26. evergirl
    • 2 years ago
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    awesome :)

  27. evergirl
    • 2 years ago
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    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
    • 2 years ago
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    |dw:1330625413364:dw|

  29. evergirl
    • 2 years ago
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    Thanks, btw what does ach stand for?

  30. JuanitaM
    • 2 years ago
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    lenght, width, height

  31. evergirl
    • 2 years ago
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    Okay thanks.

  32. evergirl
    • 2 years ago
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    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
    • 2 years ago
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    |dw:1330625924711:dw|

  34. evergirl
    • 2 years ago
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    thank u!

  35. JuanitaM
    • 2 years ago
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    uw

  36. evergirl
    • 2 years ago
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    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
    • 2 years ago
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    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
    • 2 years ago
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    Ok so something like this?|dw:1330626458327:dw|

  39. JuanitaM
    • 2 years ago
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    yes

  40. evergirl
    • 2 years ago
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    And that's part one?

  41. evergirl
    • 2 years ago
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    okay that was easy. but how about part 2?

  42. evergirl
    • 2 years ago
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    Part 2: What is the similarity ratio of these figures along with the ratio of their surface area and volume?

  43. JuanitaM
    • 2 years ago
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    set up ratios of L W H for both figures answers will simplfy to 1: 2

  44. evergirl
    • 2 years ago
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    So you're saying the ratios of both of these prisms is 1:2? Because is twice as big as the other?

  45. JuanitaM
    • 2 years ago
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    yesyes - all sides are ahve that same ratios since you multiple all sides by 2

  46. evergirl
    • 2 years ago
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    ok

  47. evergirl
    • 2 years ago
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    so i guess that only leaves part tres

  48. evergirl
    • 2 years ago
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    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
    • 2 years ago
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    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
    • 2 years ago
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    (the two rectangular prisms)

  51. evergirl
    • 2 years ago
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    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
    • 2 years ago
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    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

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