A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 4 years ago
A SOLID ALUMINUM CUBE MEASUREING 15 INCHES ON A SIDE IS MELTED AND ROLLED INTO ALUMINUM WIRE THAT IS 0.2 INCHES IN DIAMETER. WHAT WILL BE THE LENGTH OF THIS WIRE?
anonymous
 4 years ago
A SOLID ALUMINUM CUBE MEASUREING 15 INCHES ON A SIDE IS MELTED AND ROLLED INTO ALUMINUM WIRE THAT IS 0.2 INCHES IN DIAMETER. WHAT WILL BE THE LENGTH OF THIS WIRE?

This Question is Closed

asnaseer
 4 years ago
Best ResponseYou've already chosen the best response.0@HMKEFK: Call the length of the wire 'h' and then calculate its volume. Do you know how to calculate the volume of a wire given it has a circular crosssection?

asnaseer
 4 years ago
Best ResponseYou've already chosen the best response.0ok  the cross section of the wire is a circle. do you know how to find the area of a circle?

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0AREA OF A CIRCLE IS 3.14RADIUS SQUARED

asnaseer
 4 years ago
Best ResponseYou've already chosen the best response.0correct  so you are told the diameter is 0.2 inches, which means the radius must me half of this, i.e. 0.1 inches.

asnaseer
 4 years ago
Best ResponseYou've already chosen the best response.0so the area of the circular cross section of the wire is:\[A_{crosssection}=\pi r^2=\pi(0.1)^2=\frac{\pi}{100}\]

asnaseer
 4 years ago
Best ResponseYou've already chosen the best response.0now if we call the length of the wire 'h', then its volume is given by:\[V_{wire}=A_{crosssection}*h=\frac{\pi h}{100}\]

asnaseer
 4 years ago
Best ResponseYou've already chosen the best response.0so you understand so far?

asnaseer
 4 years ago
Best ResponseYou've already chosen the best response.0good, so now we need to calculate the original volume of the cube. you are told that the original cube had a side length of 15 inches. so, do you know how to calculate the volume of this cube?

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0NOT EXACTLY; I WAS THINKING ABOUT SURFACE AREA

asnaseer
 4 years ago
Best ResponseYou've already chosen the best response.0no  you need to calculate its volume. the cube was melted and then reformed into a wire. so it is the volume os material that remains the same. do you know how to work out the area of one side of this cube?

asnaseer
 4 years ago
Best ResponseYou've already chosen the best response.0each side face of a cube is a square. the area of one side face is therefore equal to the area of a square of side length 15 inches. do you know how to calculate that?

asnaseer
 4 years ago
Best ResponseYou've already chosen the best response.0I would recommend that you first learn these basics before tackling a problem like this. A good start might be one of these site: 1) http://www.mathsisfun.com/area.html 2) http://www.youtube.com/watch?v=YjGVFPtNTHw 3) http://www.cimt.plymouth.ac.uk/projects/mepres/book7/bk7i22/bk7_22i2.htm

asnaseer
 4 years ago
Best ResponseYou've already chosen the best response.0also here: http://www.youtube.com/watch?v=2vBpkgJBiZY
Ask your own question
Sign UpFind 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.