+0  
 
0
377
7
avatar+21 

How do I find the length of the diagonal AB in a cube who's volume I know to be 85184cm^3? Not sure where to start :|

mathhelpneed42  Mar 4, 2015

Best Answer 

 #5
avatar+93691 
+10

Melody  Mar 4, 2015
 #1
avatar+90088 
+10

Is AB a side length....or.......the length of the diagonal  ???

 

                                                                                                                                                                                                                                       

CPhill  Mar 4, 2015
 #2
avatar+21 
+5

AB is the length of the diagonal, sorry.

mathhelpneed42  Mar 4, 2015
 #3
avatar+90088 
+10

Take the cube root of 85184........you should get 44....this is the side length, s

The diagonal length is given by

sāˆš3  = 44āˆš3  = about 76.21cm

 

CPhill  Mar 4, 2015
 #4
avatar+93691 
+5

side = $${{\mathtt{85\,184}}}^{\left\{{\frac{{\mathtt{1}}}{{\mathtt{3}}}}\right\}} = {\mathtt{43.999\: \!999\: \!999\: \!999\: \!99}}$$      =  44cm

 

diagonal of base =   $${\sqrt{{{\mathtt{44}}}^{{\mathtt{2}}}{\mathtt{\,\small\textbf+\,}}{{\mathtt{44}}}^{{\mathtt{2}}}}} = {\mathtt{62.225\: \!396\: \!744\: \!416\: \!182\: \!1}}$$

 

diagonal of cube =  $${\sqrt{\left({{\mathtt{44}}}^{{\mathtt{2}}}{\mathtt{\,\small\textbf+\,}}{{\mathtt{44}}}^{{\mathtt{2}}}\right){\mathtt{\,\small\textbf+\,}}{{\mathtt{44}}}^{{\mathtt{2}}}}} = {\mathtt{76.210\: \!235\: \!533\: \!030\: \!600\: \!9}}$$

Melody  Mar 4, 2015
 #5
avatar+93691 
+10
Best Answer

Melody  Mar 4, 2015
 #6
avatar+90088 
+5

Nice pic, Melody......you have something in common with Picasso.......you're both into "cubism"....

 

  

CPhill  Mar 5, 2015
 #7
avatar+93691 
0

Yes i am an aclaimed artist.   LOL

 

I just haven't been discovered yet. :))

Melody  Mar 5, 2015

34 Online Users

avatar

New Privacy Policy

We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive information about your use of our website.
For more information: our cookie policy and privacy policy.