The number 1000 on prime factorization gives 2 × 2 × 2 × 5 × 5 × 5. On combining the prime factors in groups of 3 gives 10. So, the cube root of 1000 = ∛(2 × 2 × 2 × 5 × 5 × 5) = 10 (perfect cube).

Also, Is 30 a perfect cube?

A perfect cube is a number which is equal to the number, multiplied by itself, three times.

List of Perfect Cube Numbers 1 to 50.

Number (x) Multiplied Three times by itself Cubes (x

3

)
28 28× 28× 28 21952
29 29× 29× 29 24389
30 30× 30× 30 27000
31 31× 31× 31 29791

Aug 25, 2020

Hereof, Why is 27 a cube number?

A cube number is the result when a number has been multiplied by itself twice. The symbol for cubed is 3. For example, 8 is a cube number because it’s 2 x 2 x 2 (2 multiplied by itself twice); this is also written as 23 (“two cubed”). Another example of a cube number is 27 because it’s 33 (3 x 3 x 3, or “three cubed”).

Also to know What are the cube roots of 64? What is the Cube Root of 64? The cube root of 64 is the number which when multiplied by itself three times gives the product as 64. Since 64 can be expressed as 2 × 2 × 2 × 2 × 2 × 2. Therefore, the cube root of 64 = ∛(2 × 2 × 2 × 2 × 2 × 2) = 4.

What is the cube of root 5?

What is the Cube Root of 5? The cube root of 5 is the number which when multiplied by itself three times gives the product as 5. The number 5 is prime. Therefore, the cube root of 5 = ∛5 = 1.71.

## Is 27 a cube number?

A cube number is the answer when an integer is multiplied by itself, then multiplied by itself again. … The first five cube numbers are: 1, 8, 27, 64 and 125.

## Is 75 a perfect cube?

Is 75 a Perfect Cube? The number 75 on prime factorization gives 3 × 5 × 5. Here, the prime factor 3 is not in the power of 3. Therefore the cube root of 75 is irrational, hence 75 is not a perfect cube.

## Which is the perfect cube?

Therefore,

64

is a perfect cube. Therefore, perfect cube = number × number × number. The cube root of 64 is 4.

List of Perfect Cubes from 1 to 50.

Number Multiplication Fact Perfect Cube
5 5 × 5 × 5
125
6 6 × 6 × 6 216
7 7 × 7 × 7 343
8 8 × 8 × 8 512

## Is 11 a cube number?

A perfect cube number like 1331 has a perfect cube root that is 11. So, the cube root of 1331 is 11. The number that we cube to get cube numbers is the cube root of a cube number. For example, in 3 × 3 × 3 = 27, 3 is the cube root of 27, and 27 is the cube number of 3.

## What does six cubed mean?

The cube of the number 6, or 6 cubed, is 216. To find the cube of a number, x, we raise the number x to the third power, or to the exponent 3.

## What is the real cube root of negative 64?

The cube root of -64 is written as 3√−64=−4.

## What is the cube of 3?

An easy way to write 3 cubed is 33. This means three multiplied by itself three times. The easiest way to do this calculation is to do the first multiplication (3×3) and then to multiply your answer by the same number you started with; 3 x 3 x 3 = 9 x 3 = 27.

## What are the three cube roots of 1?

The cube root of 1 is expressed as ∛1 in radical form and as

(1)

or (1)

0

.

33

in the exponent form.

Cube root of 1 in radical form: ∛1.

1. What is the Cube Root of 1?
3. Is the Cube Root of 1 Irrational?
4. FAQs on Cube Root of 1

## What is a cube root of 27?

What is the Cube Root of 27? The cube root of 27 is the number which when multiplied by itself three times gives the product as 27. Since 27 can be expressed as 3 × 3 × 3. Therefore, the cube root of 27 = ∛(3 × 3 × 3) = 3.

## IS 400 a perfect cube?

Since 2 & 5 do not occur in triplets. ∴ 400 is not a perfect cube.

## Is 2 a cube number?

The first few are 1, 8, 27, 64, 125, 216, 343, … (OEIS A000578). … (OEIS A002376), and the number of distinct ways to represent the numbers 1, 2, 3, … in terms of positive cubes are 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 5, 5, 5, 5, …

## What is the cube roots of 27?

The cube root of 27 is the number which when multiplied by itself three times gives the product as 27. Since 27 can be expressed as 3 × 3 × 3. Therefore, the cube root of 27 = ∛(3 × 3 × 3) = 3.

## Is 1332 a perfect cube?

1332 is not a perfect square.

## IS 144 a perfect square?

A perfect square is an integer whose square root is always an integer . For example, 9, 36, 144 etc are perfect squares. As we know,144 is a perfect square. … Hence, the square root of 144 is 12.

## Is 2 a perfect square?

For instance, the product of a number 2 by itself is

4

. In this case, 4 is termed as a perfect square. A square of a number is denoted as n × n. Similarly, the exponential notation of the square of a number is n

2

, usually pronounced as “n” squared.

Example 1.

Integer Perfect square
2 x 2 4
3 x 3 9
4 x 4 16
5 x 5 25

## Is 45 a perfect cube?

Is 45 a Perfect Cube? The number 45 on prime factorization gives 3 × 3 × 5. Here, the prime factor 3 is not in the power of 3. Therefore the cube root of 45 is irrational, hence 45 is not a perfect cube.

## What is not a perfect cube?

Cubes and Cube Roots | Exercise 7.1

128 is not a perfect cube. Hence, 1000 is cube of 10. Here, 100 cannot be grouped into triplets of equal factors. ∴ 100 is not a perfect cube.

## What is the smallest cube number?

Cube Numbers List

Number Cube

1

1
=1 X 1 X 1
2 8 =2 X 2 X 2
3 27 =3 X 3 X 3
4 64 =4 X 4 X 4

## Is 1331 a perfect cube?

As the cube root of 1331 is a whole number, 1331 is a perfect cube.

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