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missashleyn
Group Title
Can someone help me please?
A wooden pyramid, 12 inches tall, has a square base. A carpenter increases the dimensions of the wooden pyramid by a factor of 5 and makes a larger pyramid with the new dimensions. Describe in complete sentences the ratio of the volumes of the two pyramids.
 one year ago
 one year ago
missashleyn Group Title
Can someone help me please? A wooden pyramid, 12 inches tall, has a square base. A carpenter increases the dimensions of the wooden pyramid by a factor of 5 and makes a larger pyramid with the new dimensions. Describe in complete sentences the ratio of the volumes of the two pyramids.
 one year ago
 one year ago

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Dido525 Group TitleBest ResponseYou've already chosen the best response.0
Do you know what the volume of a pyramid is?
 one year ago

missashleyn Group TitleBest ResponseYou've already chosen the best response.0
1/3 (b)(h)?
 one year ago

Dido525 Group TitleBest ResponseYou've already chosen the best response.0
Yep. So in the first case, what would the volume be? You to to find the ration you divide the new value by the old value right?
 one year ago

Dido525 Group TitleBest ResponseYou've already chosen the best response.0
To find the ratio*
 one year ago

missashleyn Group TitleBest ResponseYou've already chosen the best response.0
Well I know the height, but what's the base?
 one year ago

Dido525 Group TitleBest ResponseYou've already chosen the best response.0
No need. You got \[v=\frac{ 1 }{ 3 }A*h\]
 one year ago

Dido525 Group TitleBest ResponseYou've already chosen the best response.0
Therefore: \[v=\frac{ 1 }{3 } * A *12\] = \[V=4A\]
 one year ago

Dido525 Group TitleBest ResponseYou've already chosen the best response.0
Now we are given the ara of the base was increased by a factor of 5. In other words, it was multiplied by 5.
 one year ago

missashleyn Group TitleBest ResponseYou've already chosen the best response.0
So, 20?
 one year ago

Dido525 Group TitleBest ResponseYou've already chosen the best response.0
Ratios mean you divide, not multiply.
 one year ago

missashleyn Group TitleBest ResponseYou've already chosen the best response.0
Now I'm confused :(
 one year ago

missashleyn Group TitleBest ResponseYou've already chosen the best response.0
I thought you said it was multiplied by 5?
 one year ago

Dido525 Group TitleBest ResponseYou've already chosen the best response.0
Haha, yeah for the new volume. But when you find a ration you divide the new value by the old value.
 one year ago

missashleyn Group TitleBest ResponseYou've already chosen the best response.0
So... what is the ratio of the volumes of the 2 pyramids? o.o
 one year ago

Dido525 Group TitleBest ResponseYou've already chosen the best response.0
Lol, I don't want to give you an answer :P . I would rather you understand it.
 one year ago

Dido525 Group TitleBest ResponseYou've already chosen the best response.0
Allright better explanation.
 one year ago

Dido525 Group TitleBest ResponseYou've already chosen the best response.0
It's a 1/5 ratio right?
 one year ago

Dido525 Group TitleBest ResponseYou've already chosen the best response.0
Because we scale the pyramid by a factor of 5.
 one year ago

Dido525 Group TitleBest ResponseYou've already chosen the best response.0
1:5 ratio sorry.
 one year ago

Dido525 Group TitleBest ResponseYou've already chosen the best response.0
Ignore all the other parts.
 one year ago

missashleyn Group TitleBest ResponseYou've already chosen the best response.0
I'm seriously so confused it's not even funny! Lol okay so the dimensions are increased by a facor of 5. So you're saying the ratio of the 2 pyramids is 1:5?
 one year ago

Dido525 Group TitleBest ResponseYou've already chosen the best response.0
Ahh but remember, since this is volume, we cube that 5.
 one year ago

Dido525 Group TitleBest ResponseYou've already chosen the best response.0
or 1:125 which can also be 1/125.
 one year ago

missashleyn Group TitleBest ResponseYou've already chosen the best response.0
My head is starting to hurt..so I cube the ratio 1:5? WHAT? Lol you have to break it down for me all at once. I don't do step by step :b
 one year ago

Dido525 Group TitleBest ResponseYou've already chosen the best response.0
The scale factor of the Pyramid is 1:5 right? This can be rewritten as 1/5 . So the ratio would be 1:5 but since we are dealing with volumes, We have to cube that ratio or in other words, 1/5^3 or 1/125. We can say the New pyramid is 125x more greater than the old pyramid.
 one year ago

missashleyn Group TitleBest ResponseYou've already chosen the best response.0
Is that the answer or are you waiting for me to answer? Lol I don't know how to do this.
 one year ago

Dido525 Group TitleBest ResponseYou've already chosen the best response.0
What don't you understand?
 one year ago

Dido525 Group TitleBest ResponseYou've already chosen the best response.0
I want to try and help :c .
 one year ago

missashleyn Group TitleBest ResponseYou've already chosen the best response.0
I'm confused on the entire thing lol, I mean I'd like to understand how to get the right answer so I can fully explain my answer in complete sentences but at this point my head is starting to hurt and I just want to finish it. Lol
 one year ago

dumbcow Group TitleBest ResponseYou've already chosen the best response.0
initial dimensions; height = 12 let the square base have dimensions of 1 so initial volume = 4 new dimensions, multiply lengths by 5 height = 60 square base have sides of 5 .... so area of 25 new volume = (1/3)(25)(60) = 500 volume ratio = 500/4 = 125 does that help?
 one year ago

dumbcow Group TitleBest ResponseYou've already chosen the best response.0
in general, the rule is that the volume ratio = (length ratio)^3 > 5^3 = 125
 one year ago

missashleyn Group TitleBest ResponseYou've already chosen the best response.0
Yes! Thank you both for helping me.. sorry I get confused so easily! I appreciate you both! :)
 one year ago
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