\( \frac{1}{10} \) cubed
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The Deep Dive
Cubing \( \frac{1}{10} \) means multiplying \( \frac{1}{10} \) by itself three times: \[ \left( \frac{1}{10} \right)^3 = \frac{1}{10} \times \frac{1}{10} \times \frac{1}{10} = \frac{1}{1000}. \] So, \( \frac{1}{10} \) cubed equals \( \frac{1}{1000} \)! Fun fact: \( \frac{1}{1000} \) is also equivalent to 0.001. This tiny decimal is often used in various fields, like science and engineering, to represent very small quantities. You might think of it as a "kilo" in reverse—just a little fraction that fits snugly in a bigger picture! Another interesting tidbit: Cubing fractions is common in geometry, especially when calculating the volume of cubes! For instance, if you have a cube with a side length of \( \frac{1}{10} \) meters, the volume will be \( \frac{1}{1000} \) cubic meters—perfect for tiny spaces in model buildings or miniature designs!