Related rates?

  • Thread starter synergix
  • Start date
  • #1
178
0

Homework Statement


a) A cubical box is to be built so that it holds 125 cm3. How precisely should the edge be made so
that the volume will be corrected to within 3 cm3?

The Attempt at a Solution



I am not sure even what this is asking exactly could someone decode if they have seen a similar problem before?
 

Answers and Replies

  • #2
Dick
Science Advisor
Homework Helper
26,263
619
Yeah, it's just a differential problem, I think. V=a^3, so dV=3*a^2*da. If a=5cm then V=125cm^3. You are given dV=3cm^3. Solve for da. It's an approximate solution for how large the variation in a can be and still give you a V between 128cm^3 and 122cm^3. Approximate, mind you.
 
  • #3
178
0
I thought that the question might be asking something like that but it seemed kind of strange to me. thanks
 

Related Threads on Related rates?

  • Last Post
Replies
1
Views
4K
  • Last Post
Replies
4
Views
2K
  • Last Post
Replies
1
Views
1K
  • Last Post
Replies
1
Views
3K
  • Last Post
Replies
5
Views
1K
  • Last Post
Replies
6
Views
2K
  • Last Post
Replies
3
Views
2K
  • Last Post
Replies
3
Views
2K
  • Last Post
Replies
2
Views
2K
  • Last Post
Replies
12
Views
4K
Top