Perfect Cubes — Definition & Examples
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- Perfect Cube To understand what a perfect cube is, it's helpful to look at a few shapes. Specifically, the name "perfect cubes" suggest we consider cubes from geometry. A cube i…
By Alex Federspiel, Caroline K, Joshua Siktar
- A perfect cube is any number that can be expressed as the product of three equal integers. In other words, a perfect cube is a number that can be made by cubing an integer. Ever…
By Eunji Kwon, Jonathan Heller, Caroline K, Joshua Siktar
- (Video) What is a Perfect Cube? by mathwithmrbarnes This video by mathwithmrbarnes goes over the connection between perfect cubes and geometric cubes. Summary\large{\text{Summar…
By Jonathan Heller, Alex Federspiel, Joshua Siktar
- Perfect Cubes Similarly to perfect squares, perfect cubes are the result of multiplying a number by itself 222 times! In terms of exponents, we say that we cube a number when we…
By Sarah Walker, Joshua Siktar
Problems 20
- Select the non-perfect cubes.
- Select the perfect cubes.
- Is 000 a perfect cube?
- True or False\text{True or False}True or False === 400400400 is a perfect cube.
- Let xxx and yyy be integers. 8x3y68x^3y^68x3y6 a perfect cube?
- Let a,b,a,b,a,b, and ccc be integers. Is 125a9b27c−3125a^9b^{27}c^{-3}125a9b27c−3 a perfect cube?
- Consider a cube with side lengths 2 m.2\text{ m}.2 m. What is the volume of the cube, and is this number a perfect cube?
- True or False\text{True or False}True or False 161616 is a perfect cube.
- Is a perfect cube times a perfect cube equal to a perfect cube?
- Is a perfect cube plus a perfect cube equal to perfect cube?
- Is a perfect cube divided by a perfect cube a perfect cube?
- Is a perfect cube raised to the power of three (i.e., a perfect cube cubed) equal to a perfect cube?
- Is a perfect cube raised to an integer power still a perfect cube?
- True or False\text{True or False}True or False === 8⋅27⋅64⋅125⋅2168\cdot 27\cdot 64\cdot 125 \cdot 2168⋅27⋅64⋅125⋅216 is a perfect cube.
- True or False\text{True or False}True or False 818181 is a perfect cube.
- True or False\text{True or False}True or False 646464 is a perfect cube.
- Can a perfect square be a perfect cube?
- What is the sum of the first four nonnegative perfect cubes?
- True or False\text{True or False}True or False −1×8×−27×64-1 \times 8 \times -27 \times 64−1×8×−27×64 is a perfect cube.
- If an integer is raised to the 300th300\text{th}300th power, is it a perfect cube?