anonymous
  • anonymous
What is the similarity ratio of two cubes with volumes of 64 cubic centimeters and 125 cubic centimeters?
Mathematics
katieb
  • katieb
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anonymous
  • anonymous
64 : 125 cube both sides 4: 5
anonymous
  • anonymous
cube 4 and 5?
anonymous
  • anonymous
Wait your saying 4:5 is the answer? How'd you get it?

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anonymous
  • anonymous
no take the cube of 64 and 125 in order to get 4 and 5 respectively. yes. 4 and 5 are the answers.
anonymous
  • anonymous
remeber ratios are like simplified equivalents. as long as you do the same to both numbers
anonymous
  • anonymous
Oh okay. Thanks.
anonymous
  • anonymous
I kind a get it. I'm not 100% sure of what you said but sort of.
anonymous
  • anonymous
your saying 64^3 and 125^3 = 4:5?
anonymous
  • anonymous
|dw:1330624579590:dw|
anonymous
  • anonymous
oh the square root! Thank you okay I get it. Sorry I'm a more visual learner. Thank you!
anonymous
  • anonymous
no cube root - that is a 3 not 2
anonymous
  • anonymous
right sorry I made typo
anonymous
  • anonymous
Np - as long as you understand it :)
anonymous
  • anonymous
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?
anonymous
  • anonymous
I don't get what this question is asking me.
anonymous
  • anonymous
|dw:1330624864488:dw|
anonymous
  • anonymous
first, note the issue with height - it was orgiinally 100 and was reduced by 20% to 80
anonymous
  • anonymous
lenght and width were not reduced now just plug into the equation and you will get your volume
anonymous
  • anonymous
uh huh I'm following
anonymous
  • anonymous
v = 80*5*10
anonymous
  • anonymous
I got the answer!!!!
anonymous
  • anonymous
horray! thank you its 4,000 inches cubed
anonymous
  • anonymous
am i right?
anonymous
  • anonymous
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?
anonymous
  • anonymous
:) yes you are correct
anonymous
  • anonymous
awesome :)
anonymous
  • anonymous
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?
anonymous
  • anonymous
|dw:1330625413364:dw|
anonymous
  • anonymous
Thanks, btw what does ach stand for?
anonymous
  • anonymous
lenght, width, height
anonymous
  • anonymous
Okay thanks.
anonymous
  • anonymous
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?
anonymous
  • anonymous
|dw:1330625924711:dw|
anonymous
  • anonymous
thank u!
anonymous
  • anonymous
uw
anonymous
  • anonymous
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.
anonymous
  • anonymous
1. easier is rectangular prism make the dimenstions of one and then multiply by 2 to get the dimeensions of the 2nd one
anonymous
  • anonymous
Ok so something like this?|dw:1330626458327:dw|
anonymous
  • anonymous
yes
anonymous
  • anonymous
And that's part one?
anonymous
  • anonymous
okay that was easy. but how about part 2?
anonymous
  • anonymous
Part 2: What is the similarity ratio of these figures along with the ratio of their surface area and volume?
anonymous
  • anonymous
set up ratios of L W H for both figures answers will simplfy to 1: 2
anonymous
  • anonymous
So you're saying the ratios of both of these prisms is 1:2? Because is twice as big as the other?
anonymous
  • anonymous
yesyes - all sides are ahve that same ratios since you multiple all sides by 2
anonymous
  • anonymous
ok
anonymous
  • anonymous
so i guess that only leaves part tres
anonymous
  • anonymous
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.
anonymous
  • anonymous
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?
anonymous
  • anonymous
(the two rectangular prisms)
anonymous
  • anonymous
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.
Moonlight10198
  • 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

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