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What happens to the cube of a number if the number is multiplied by 3?

If n is multiplied by 3, it becomes 3n. ( 3 n ) 3 = 3 3 × n 3 = 27 n 3 Therefore, the cube of 3n is 27 times of the cube of n. Thus, if a number is multiplied by 3, its cube is 27 times of the cube of that number.

How do you find 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.

How do you find the cube of a number?

Cube numbers

  1. A cube number is a number multiplied by itself 3 times. This can also be called ‘a number cubed’. The symbol for cubed is ³.
  2. 2³ = 2 × 2 × 2 = 8.
  3. 3³ = 3 × 3 × 3 = 27.
  4. 4³ = 4 × 4 × 4 = 64.
  5. 5³ = 5 × 5 × 5 =125.
  6. The cube numbers up to 100 are: 1, 8, 27, 64.

What is the cube of 2 by 3?

8/27

What is the Cube of 3 5?

Steps to find Cube Root Easily

Number Cube root ∛a
3 1.442
4 1.587
5 1.710
6 1.817

Is 64 a perfect cube?

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

What is the formula of cube root?

The formula of cube root is a=3√b a = b 3 , where a is the cube root of b. For example, the cube root of 125 is 5 because 5 × 5 × 5 = 125.

IS 729 a perfect cube?

Since 729 is a perfect cube, we will use the prime factorisation method, to get the cube root easily. …

Is 8000 a perfect cube?

Since 8000 is a whole number, it is a perfect cube. The nearest previous perfect cube is 6859 and the nearest next perfect cube is 9261 . 8000 is said to be a perfect cube because 20 x 20 x 20 is equal to 8000. Since 8000 is a whole number, it is a perfect cube.

Is 1800 a perfect cube?

A perfect cube is an integer where the cube root of it is an integer. Here are the perfect cubes up to 1800: 1, 8, 27, 64, 125, 216, 343, 512, 729, 1000, 1331, 1728, Cubes have odd number of factors except any sixth power and a 12th power (12th power is a sixth power), as they are already square numbers.

Why is 144 a special number?

144 is the twelfth Fibonacci number, and the largest one to also be a square, as the square of 12 (which is also its index in the Fibonacci sequence), following 89 and preceding 233. 144 is the smallest number with exactly 15 divisors, but it is not highly composite since the smaller number 120 has 16 divisors.