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