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

- anonymous

- katieb

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- anonymous

64 : 125
cube both sides
4: 5

- anonymous

cube 4 and 5?

- anonymous

Wait your saying 4:5 is the answer? How'd you get it?

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## More answers

- 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

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

- anonymous

Oh okay. Thanks.

- anonymous

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

- anonymous

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

- anonymous

|dw:1330624579590:dw|

- anonymous

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

- anonymous

no cube root - that is a 3 not 2

- anonymous

right sorry I made typo

- anonymous

Np - as long as you understand it :)

- 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

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

- anonymous

|dw:1330624864488:dw|

- anonymous

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

- anonymous

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

- anonymous

uh huh I'm following

- anonymous

v = 80*5*10

- anonymous

I got the answer!!!!

- anonymous

horray! thank you its 4,000 inches cubed

- anonymous

am i right?

- 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

:) yes you are correct

- anonymous

awesome :)

- 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

|dw:1330625413364:dw|

- anonymous

Thanks, btw what does ach stand for?

- anonymous

lenght, width, height

- anonymous

Okay thanks.

- 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

|dw:1330625924711:dw|

- anonymous

thank u!

- anonymous

uw

- 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

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

- anonymous

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

- anonymous

yes

- anonymous

And that's part one?

- anonymous

okay that was easy. but how about part 2?

- anonymous

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

- anonymous

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

- anonymous

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

- anonymous

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

- anonymous

ok

- anonymous

so i guess that only leaves part tres

- 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

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

(the two rectangular prisms)

- 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

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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