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 .