# What is the sum of 10 perfect cubes?

Table of Contents

## What is the sum of 10 perfect cubes?

Sum of the first 10 Cube Numbers

n | Cn |
---|---|

7 | 343 |

8 | 512 |

9 | 729 |

10 | 1000 |

**How do you find the sum of the first 10 perfect cubes?**

It seems that the sum is always square, but what is even more remarkable is that the sum of the first n cubes, 13+23+… + n 3 = ( n ( n +1)/2)2, which is the square of the n th triangle number. For example, 13+23+… +103=(10×11/2)2=552 = 3025.

**What are the first 10 perfect cubes?**

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

### What is the cube from 1 to 10?

The first ten cube numbers are: 1, 8, 27, 64, 125, 216, 343, 512, 729, 1000.

**What is value of 10 cube?**

9 cube is 729 and 10 cube is 100.

**What is a cube of 10?**

Cube Numbers from 1 to 100

Number | Cube |
---|---|

8 | 512 |

9 | 729 |

10 | 1000 |

11 | 1331 |

## What is the sum of perfect cubes?

A sum of cubes is a binomial of the form: (something)3 + (something else)3. When you recognize a sum of cubes a3 + b3, it factors as (a + b)(a2 – ab + b2). For example, to factor 8×3 + 27, you first look for the GCF.

**What are the ten perfect squares?**

They are 4, 9, 16, 25, 36, 49, 64 and 81. However, there are ten perfect squares from 1 to 10. They are 1, 4, 9, 16, 25, 36, 49, 64, 81 and 100.

**How do you calculate 10 cubed?**

What is a cubed number?

- When you multiply a whole number (not a fraction) by itself, and then by itself again the result is a cube number.
- 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.

### How do you write 10 cubed?

Using the Alt Code Hold down the “Alt” key and type “0179” without quotes. When you release the “Alt” key, the cubed symbol appears.

**Which number is a perfect cube?**

The perfect cube of a number can be characterized as the number obtained by multiplying a number by itself two times. For example, 8 is known as a perfect cube number because it is obtained by multiplying 2 thrice; i.e. 8 = 2 x 2 x 2.

**What is the formula for perfect cubes?**

Formula Used to calculate the sum of two cube: Perfect Cubes Addition = a3 + b3. Let us consider 2 numbers say a and b. Cube of the first number = a3. Cube of the second number = b3. Sum of two cubes = cube of the first number + cube of the second number.

## Which monomials are perfect cubes?

A perfect cube is a number that resulted from multiplying a number three times by itself. A perfect cube is also a number that has an exact cube root. Only two monomials are perfect cubes.