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bu true / false A perfect cube may be negative.

Ask by Tyler Mccarthy. in the United States
Mar 22,2025

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A perfect cube can be negative.

Solution

True. A perfect cube can be negative. This is because when a negative number is raised to the power of three (cubed), the result is also negative. For example, \((-2)^3 = -8\), which is a perfect cube.

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The Deep Dive

True! A perfect cube can indeed be negative. This is because when a negative number is multiplied by itself three times (e.g., -2 x -2 x -2), the result is a negative number (-8 in this case). So, while perfect squares are always non-negative, perfect cubes can be negative, adding an interesting twist to the world of numbers! If you enjoy number puzzles, think about how perfect cubes influence geometry! For instance, the volume of a cube is calculated by cubing the length of its sides. So, whether you're calculating the space inside a box or designing a room, perfect cubes play a vital role! Plus, with some creativity, you can incorporate them into art or architecture!

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