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 2 years ago
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.
 2 years ago
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.

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Dido525
 2 years ago
Best ResponseYou've already chosen the best response.0Do you know what the volume of a pyramid is?

Dido525
 2 years ago
Best ResponseYou've already chosen the best response.0Yep. 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?

missashleyn
 2 years ago
Best ResponseYou've already chosen the best response.0Well I know the height, but what's the base?

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

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

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

Dido525
 2 years ago
Best ResponseYou've already chosen the best response.0Ratios mean you divide, not multiply.

missashleyn
 2 years ago
Best ResponseYou've already chosen the best response.0Now I'm confused :(

missashleyn
 2 years ago
Best ResponseYou've already chosen the best response.0I thought you said it was multiplied by 5?

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

missashleyn
 2 years ago
Best ResponseYou've already chosen the best response.0So... what is the ratio of the volumes of the 2 pyramids? o.o

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

Dido525
 2 years ago
Best ResponseYou've already chosen the best response.0Allright better explanation.

Dido525
 2 years ago
Best ResponseYou've already chosen the best response.0It's a 1/5 ratio right?

Dido525
 2 years ago
Best ResponseYou've already chosen the best response.0Because we scale the pyramid by a factor of 5.

Dido525
 2 years ago
Best ResponseYou've already chosen the best response.0Ignore all the other parts.

missashleyn
 2 years ago
Best ResponseYou've already chosen the best response.0I'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?

Dido525
 2 years ago
Best ResponseYou've already chosen the best response.0Ahh but remember, since this is volume, we cube that 5.

Dido525
 2 years ago
Best ResponseYou've already chosen the best response.0or 1:125 which can also be 1/125.

missashleyn
 2 years ago
Best ResponseYou've already chosen the best response.0My 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

Dido525
 2 years ago
Best ResponseYou've already chosen the best response.0The 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.

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

Dido525
 2 years ago
Best ResponseYou've already chosen the best response.0What don't you understand?

Dido525
 2 years ago
Best ResponseYou've already chosen the best response.0I want to try and help :c .

missashleyn
 2 years ago
Best ResponseYou've already chosen the best response.0I'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

dumbcow
 2 years ago
Best ResponseYou've already chosen the best response.0initial 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?

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

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