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Is 1 the smallest positive perfect cube?

Is 1 the smallest positive perfect cube?

A perfect cube is the result of multiplying a number three times by itself. We can also say that perfect cubes are the numbers that have exact cube roots. 1, 8, 27, 64, 125, 216, 343, 512, 729, 1,000, 1,331, 1,728, 2,197, 2,744, 3,375…

What are the perfect cube numbers?

The numbers such as 1, 8, 27, 64, etc. are known as perfect cubes or cube numbers. When a cube is broken or cut, total volume still remains the same.

What are the first 20 perfect cubes?

For example, multiplying the number 4 three times results in 64. Therefore, 64 is a perfect cube. Therefore, perfect cube = number × number × number….List of Perfect Cubes from 1 to 50.

Number Multiplication Fact Perfect Cube
17 17 × 17 × 17 4913
18 18 × 18 × 18 5832
19 19 × 19 × 19 6859
20 20 × 20 × 20 8000

Is 3 a perfect cube?

2 3 , 3 3 , 4 3 , 5 3 , 6 3 , 7 3 , … are perfect cube. i.e. 8, 27, 64, 125, 216, 343, … are perfect cube.

How many perfect cubes are there between 1 and 100?

4 perfect cubes
Thus there are 4 perfect cubes from 1 to 100 and they are 1, 8, 27 and 64.

Is 1 a perfect square?

Informally: When you multiply an integer (a “whole” number, positive, negative or zero) times itself, the resulting product is called a square number, or a perfect square or simply “a square.” So, 0, 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, and so on, are all square numbers.

Is there no perfect cube which ends with 8?

Therefore, the given statement i.e. there is no perfect cube which ends with 8 is false.

How many perfect cubes were below 2010?

Answer. Answer: 44 cubes are below 2010.

How many perfect cubes are there between 1 and 70?

Cube Numbers from 1 to 100

Number Cube
68 314432
69 328509
70 343000
71 357911

Is 8x a perfect cube?

perfect cube numerical values: 8, 27, 64, 125, 216, 343, 512….

Factor: 8×3 – 27
Is this expression the difference of perfect cubes? Look for perfect cubes and appropriate powers. 8×3 and 27 are perfect cubes: 8×3 = (2x)3 and 27 = 33 So, yes, this is the difference of perfect cubes. (2x)3 – 33 a = 2x, b = 3

What is the smallest number divided to get a perfect cube?

Finds the smallest number divided to 968 to get a perfect cube. 968 × 1/11 × 1/ 11 = 2 × 2 × 2 × 11 × 11 × 1/11 × 1/11

Which of the following is a perfect cube?

The numbers such as 1, 8, 27, 64, etc. are known as perfect cubes or cube numbers. When a cube is broken or cut, total volume still remains the same.

What is the perfect cube of 120 and 3 and 5?

The factor 2 occurs thrice, 3 and 5 occurs only once. So in order to make it a perfect cube we have to multiply 120 with a square of 3 and 5. Therefore, 120 × 3 × 3 × 5 × 5 =27000. The number 27000 is the required perfect cube. Application of Perfect Cube. A cube is a three-dimensional figure which has all the edges of equal length.

What is the cube root of a perfect cube?

A perfect cube is a number which is equal to the number, multiplied by itself, three times. If x is a perfect cube of y, then x = y 3. Therefore, if we take out the cube root of a perfect cube, we get a natural number and not a fraction.