<h3>
Answer: 0.1 units</h3>
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Work Shown:
0.001 = 1/1000
Apply the cube root to both parts of 1/1000 to get
![\sqrt[3]{1} = 1\\\\\sqrt[3]{1000} = 10](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B1%7D%20%3D%201%5C%5C%5C%5C%5Csqrt%5B3%5D%7B1000%7D%20%3D%2010)
So this means that, ![\left(\frac{1}{10}\right)^3 = \frac{1}{10}*\frac{1}{10}*\frac{1}{10} = \frac{1}{1000} = 0.001](https://tex.z-dn.net/?f=%5Cleft%28%5Cfrac%7B1%7D%7B10%7D%5Cright%29%5E3%20%3D%20%5Cfrac%7B1%7D%7B10%7D%2A%5Cfrac%7B1%7D%7B10%7D%2A%5Cfrac%7B1%7D%7B10%7D%20%3D%20%5Cfrac%7B1%7D%7B1000%7D%20%3D%200.001)
Having a side length of 1/10 = 0.1 unit leads to a volume of 0.001 cubic units.
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A shortcut alternative is to use your calculator to get
![(0.001)^{1/3} = 0.1](https://tex.z-dn.net/?f=%280.001%29%5E%7B1%2F3%7D%20%3D%200.1)
The exponent of 1/3 is the same as a cube root.
Answer:
Step-by-step explanation:
1000000000000000
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399
Step-by-step explanation: