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D is directly proprotional to the cube of L

D=20 when L=150

When D is 15 what is L?

 

Is the answer the cube root of 2531252.5312(recurring), or is that too far fetched? 

 Nov 7, 2015

Best Answer 

 #1
avatar+130536 
+10

We need to find the proportionality constant, (k), here.......we have

 

D = kL3    and we know that

 

20 = k(150)3     .....  so.......

 

k = 20 /(150)3

 

And we have

 

15 = (20/ 1503) L3    .....so........

 

L3 = [ 15 * 1503 / 20 ]        take the cube root of both sides

 

L = about 136.284

 

 

cool cool cool

 Nov 7, 2015
 #1
avatar+130536 
+10
Best Answer

We need to find the proportionality constant, (k), here.......we have

 

D = kL3    and we know that

 

20 = k(150)3     .....  so.......

 

k = 20 /(150)3

 

And we have

 

15 = (20/ 1503) L3    .....so........

 

L3 = [ 15 * 1503 / 20 ]        take the cube root of both sides

 

L = about 136.284

 

 

cool cool cool

CPhill Nov 7, 2015
 #2
avatar
+5

Yes you have the correct answer ....not far fetched at all!

 Nov 7, 2015

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