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 Post subject: lateral areas
PostPosted: Mon, 21 May 2012 17:01:27 UTC 
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The ratio of the heights of two similar rectangular prisms is 2:3. What is the ratio of their lateral areas?


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 Post subject: Re: lateral areas
PostPosted: Mon, 21 May 2012 18:16:19 UTC 
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Well, if the heights have a ratio of 2:3, what do you think the ratio of the lengths is? Or of the widths?

If you know the ratio of the one-dimensional measurements (such as height), what happens to the ratio of two-dimensional measurements (areas)?


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 Post subject: Re: lateral areas
PostPosted: Mon, 21 May 2012 18:39:23 UTC 
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alstat wrote:
Well, if the heights have a ratio of 2:3, what do you think the ratio of the lengths is? Or of the widths?

If you know the ratio of the one-dimensional measurements (such as height), what happens to the ratio of two-dimensional measurements (areas)?


The prisms are similar, so the ratios will be the same.

Shadow15 wrote:
The ratio of the heights of two similar rectangular prisms is 2:3. What is the ratio of their lateral areas?


areas scale with the square of the linear dimensions.

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 Post subject: Re: lateral areas
PostPosted: Tue, 22 May 2012 05:00:26 UTC 
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Shadow wrote:
alstat wrote:
Well, if the heights have a ratio of 2:3, what do you think the ratio of the lengths is? Or of the widths?

If you know the ratio of the one-dimensional measurements (such as height), what happens to the ratio of two-dimensional measurements (areas)?


The prisms are similar, so the ratios will be the same.

Shadow15 wrote:
The ratio of the heights of two similar rectangular prisms is 2:3. What is the ratio of their lateral areas?


areas scale with the square of the linear dimensions.


Nice answers, but I was asking the op. I was hoping he/she could answer them so that he/she could then answer the original question.


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