Mathematics, 02.02.2020 16:01 carlinryan
The volume of a cube is 1,953,125 centimeters what is the length of the sides
Answers: 1
![a^3=1,953,125\to a=\sqrt[3]{1,953,125}\\\\\begin{array}{c|c}1,953,125&5\\390,625&5\\78,125&5\\15,625&5\\3,125&5\\625&5\\125&5\\25&5\\5&5\\1\end{array}\\\\1,953,125=5^3\cdot5^3\cdot5^3\\\\\sqrt[3]{1,953,125}=\sqrt[3]{5^3\cdot5^3\cdot5^3}\qquad\text{use}\ \sqrt[3]{ab}=\sqrt[3]a\cdot\sqrt[3]b\\\\=\sqrt[3]{5^3}\cdot\sqrt[3]{5^3}\cdot\sqrt[3]{5^3}\qquad\text{use}\ \sqrt[3]{a^3}=a\\\\=5\cdot5\cdot5=125](/tpl/images/0493/1830/ab860.png)
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The volume of a cube is 1,953,125 centimeters what is the length of the sides...
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