# Is 1000 Is A Perfect Cube?

## Is the number 1000 a perfect cube?

What are first ten perfect cube numbers.

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

## What is the cube of 1000?

Cube Numbers ListNumberCube101000=10 X 10 X 10111331=11 X 11 X 11121728=12 X 12 X 12132197=13 X 13 X 13160 more rows

## Is 27 a cube number?

It is called a cube number because it gives the volume of a cube whose side length is an integer. … The third cube number is 27 because 3 × 3 × 3 = 27 , and so on. The first five cube numbers are: 1, 8, 27, 64 and 125.

## What is the smallest cube number?

9That means that 9 is a smallest number. It can be more than 9 as the following sum of 180³ with 64 (!) cubic numbers shows.

## IS 800 a perfect cube?

The value of cube root of one is 800. The nearest previous perfect cube is 729 and the nearest next perfect cube is 1000 . Cube root of 800 can be represented as 3√800.

## IS 392 a perfect cube?

If not, find the smallest natural number by which 392 must be multiplied so that the product is a perfect cube. No, this is not a perfect cube. new number=392*7=2744.

## IS 500 a perfect cube?

∴ 500 is not a perfect cube. … Thus, the smallest required number to multipkly 243 to make it a perfect cube is 3. (ii) We have 256 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2. Grouping the prime factors of 256 in triples, we are left over with 2 x 2.

## What is the definition of a perfect cube?

A perfect cube is an integer that is equal to some other integer raised to the third power. We refer to raising a number to the third power as cubing the number. For example, 125 is a perfect cube because . However, 121 is not a perfect cube because there is no integer such that .

## Is 8 a perfect cube?

What is a Perfect Cube? A perfect cube is a number that is the cube of an integer. Some examples of perfect cubes are 1, 8, 27, 64, 125, 216, 343, ..

## Is 27 a natural number?

27 (twenty-seven) is the natural number following 26 and preceding 28….27 (number)← 26 27 28 →Cardinaltwenty-sevenOrdinal27th (twenty-seventh)Factorization33Divisors1, 3, 9, 278 more rows

## IS 512 a perfect cube?

Since 512 is a whole number, it is a perfect cube. The nearest previous perfect cube is 343 and the nearest next perfect cube is 729 . 512 is said to be a perfect cube because 8 x 8 x 8 is equal to 512. Since 512 is a whole number, it is a perfect cube.

## What is the perfect cube formula?

Factor the Sum of Perfect Cubes: a3 + b3 = (a + b)(a2 – ab + b2) Factor the Difference of Perfect Cubes: a3 – b3 = (a – b)(a2 + ab + b2) When trying to remember these patterns, remember that the first binomial term in the factored form in each pattern keeps the same sign as the sign between the perfect cubes.

## Is a perfect cube or not?

If the prime factors of a number are grouped in triples of equal factors, then that number is called a perfect cube. In order to check whether a number is a perfect cube or not, we find its prime factors and group together triplets of the prime factors. If no factor is left out then the number is a perfect cube.

## What is the cube of 64?

The 3rd root of 64, or 64 radical 3, or the cube root of 64 is written as 3√64=4. The 3rd root of -64, or -64 radical 3, or the cube root of -64 is written as 3√−64=−4. The cube root of 8 is written as 3√8=2. The cube root of 10 is written as 3√10=2.154435.

## IS 729 a perfect cube?

What is Cube Root of 729 ? 729 is said to be a perfect cube because 9 x 9 x 9 is equal to 729. Since 729 is a whole number, it is a perfect cube. The nearest previous perfect cube is 512 and the nearest next perfect cube is 1000 .

## Is 256 a cube number?

Answer. Therefore, 256 is not a perfect cube.

## IS 400 a perfect cube?

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

## IS 300 a perfect cube?

The value of cube root of one is 300. The nearest previous perfect cube is 216 and the nearest next perfect cube is 343 . Cube root of 300 can be represented as 3√300. … The nearest previous perfect cube is 216 and the nearest next perfect cube is 343 .