A community for students. Sign up today!
Here's the question you clicked on:
 0 viewing
 one year 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.
 one year 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.

This Question is Closed

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

Dido525
 one year 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
 one year ago
Best ResponseYou've already chosen the best response.0Well I know the height, but what's the base?

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

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

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

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

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

Dido525
 one year 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
 one year ago
Best ResponseYou've already chosen the best response.0So... what is the ratio of the volumes of the 2 pyramids? o.o

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

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

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

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

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

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

missashleyn
 one year 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
 one year 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
 one year 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
 one year ago
Best ResponseYou've already chosen the best response.0What don't you understand?

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

missashleyn
 one year 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
 one year 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
 one year 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
 one year 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! :)
Ask your own question
Ask a QuestionFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.