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Q.find number of small cube with edge 20 cm that can be accommodated in a cubical box of 2 meter edge?

Guest Mar 1, 2017
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 #1
avatar+79894 
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If each small cube has a 20cm edge = .2m....then tne volume of each  = (.2m)^2  = .008m^3

 

And the volume of the large cube  = (2m)^3  =  8m^3

 

So......

 

8m^3 / 008m^3  =  8 / [ 8/1000]  =   8000 / 8    =   1000 small cubes

 

 

cool cool cool

CPhill  Mar 1, 2017
 #2
avatar+18777 
+5

Q.find number of small cube with edge 20 cm that can be accommodated in a cubical box of 2 meter edge?

 

\(\begin{array}{|rcll|} \hline x\cdot 20^3 &=& 200^3 \\\\ x &=& \frac{(10\cdot 20)^3}{20^3} \\\\ x &=& \frac{10^3\cdot 20^3}{20^3} \\\\ x &=&10^3\\\\ \mathbf{x} & = &\mathbf{1000 } \\ \hline \end{array} \)

 

The number of small cube's is 1000

 

laugh

heureka  Mar 1, 2017

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