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# extra questions

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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
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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

CPhill  Mar 1, 2017
#2
+18355
+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

heureka  Mar 1, 2017

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