Table of Contents

- 1 What number is both a perfect square and a perfect cube?
- 2 Which 3 digit number is both a square and a cube?
- 3 Is 1000 both a perfect square and a perfect cube?
- 4 How many 3 digit square numbers are there?
- 5 What numbers are Perfectcubes?
- 6 How do you find the largest number of 3 digits which is a perfect square?
- 7 Is 2197 a perfect cube?
- 8 Is 0.0729 a perfect cube?
- 9 Which number has a 3 digit perfect square and perfect cube?
- 10 What is the square root of a perfect cube?
- 11 What number is a perfect square between 1 and 25?

## What number is both a perfect square and a perfect cube?

There are 3 cubes which are also square numbers, but only 729 is a three digit number. The next would be 46=4096=163=642 a four-digit number. Note that 1,4and9 are the first three square numbers, Their cubes are therefore both squares and cubes.

## Which 3 digit number is both a square and a cube?

729 is a 3-digit number which is a square(27) as well as a cube(9).

**What is the three digit number which is 2 more than a perfect square and 2 less than a perfect cube?**

Answer: The three digit number is 123. Step-by-step explanation: Given : Three digit number which is 2 more than a perfect square and 2 less than a perfect cube.

### Is 1000 both a perfect square and a perfect cube?

[ Including 1 and 1000 there are only 10 perfect cube, 10^3 = 1000 so, it can’t be more then 10 ] , But in between 1 to 1000 there are only 8 perfect cube because then we have to exculed 1 and 1000. 8, 27, 64, 125, 216, 343, 512, 729.

### How many 3 digit square numbers are there?

So total 22 three digit numbers are perfect squares. 4 digit numbers are 1000 to 9999. The first number which is a perfect square after 1000 is 1024 = 32 square.

**What is the only 2 digit number that is a square and a cube?**

Answer: 64 is two digit square number and cube number.

#### What numbers are Perfectcubes?

The list of perfect cubes from 1 to 10 is as follows: 1, 8, 27, 64, 125, 216, 343, 512, 729, and 1000.

#### How do you find the largest number of 3 digits which is a perfect square?

Therefore to find the largest 3 digit perfect square we will subtract 38 from 999. 999 – 38 = 961. Hence 961 isthe largest 3 digit perfect square whose square root is 31.

**What is a 3 digit perfect square?**

Square Number

numbers | ||
---|---|---|

3 | 1 | 3, 6, 9, 11, 12, 14, 17, 18, 19, 21, 22, 24. |

3 | 2 | 27, 33, 38, 41, 51, 57, 59, 62, 69, 74, 75. |

3 | 3 | 54, 66, 81, 86, 89, 99, 101, 110, 114, 126. |

3 | 4 | 129, 134, 146, 153, 161, 171, 189, 198. |

## Is 2197 a perfect cube?

As 2197 is a perfect cube, it is easy to determine the cube root of 2197. Hence, the cube root of 2197 is 13.

## Is 0.0729 a perfect cube?

0. 0729 is not a perfect cube.

**What is a three digit perfect square?**

Hence, the greatest perfect square with three digits is 961.

### Which number has a 3 digit perfect square and perfect cube?

Hence the 3 digit no which is perfect square as well as perfect cube will be 9³=27²=729. , studied Bachelor of Technology in Electronics and Communications Engineering & DVEA’s Chetan Pre-University S… The Answer will be 729. How? It’s like this. (N^2)^3 = (M^3)^2 and the answer is a 3 digit number. Tried for N=2 which is 64 .

### What is the square root of a perfect cube?

The square root of a perfect square and the cube root of a perfect cube is always an integer. A perfect square is a number multiplied by itself. A perfect cube is a number multiplied by itself twice. Example: 3 x 3 is 9, the square of 3 3 x 3 x 3 is 27, the cube of 3 What is special about the number sixty four?

**What are the first 10 cube numbers?**

The first ten cube numbers are 1, 8, 27, 64, 125, 216, 343, 512, 729 and 1000. Which are the perfect cubes among these: 27, 9, 400? 27 is the perfect cube. Since 3 x 3 x 3 = 3 3 = 27

#### What number is a perfect square between 1 and 25?

There is not a number that is a perfect square and perfect cube between 1 and 25.There is not a number that is a perfect square and perfect cube between 1 and 25.There is not a number that is a perfect square and perfect cube between 1 and 25.There is not a number that is a perfect square and perfect cube between 1 and 25.