What is an example of a perfect cube? check this out – what is a perfect cube
A perfect cube is a number that is obtained by the multiplication of the same number three times. For example, when we multiply 7 × 7 × 7, we get 343. Therefore, 343 is a perfect cube.
The perfect cube is the result of multiplying the same integer three times. Multiplying the number 4 three times, for example, yields 64. As a result, the number 64 is a perfect cube. … If a number can be broken down into a product of the same three numbers, it is said to be a perfect cube.
Is 27 a perfect cube yes or no?
The number 27 is a perfect cube because it is the product of an integer multiplied 3 times.
What is called perfect cube number?
The numbers such as 1, 8, 27, 64, etc. are known as perfect cubes or cube numbers. When a cube is broken or cut, total volume still remains the same.
What is the perfect cube of 67?
Cube root of 67 can be represented as 3√67. The value of cube root of one is 67. The nearest previous perfect cube is 64 and the nearest next perfect cube is 125 . Cube root of 67 can be represented as 3√67.
What is the perfect cube of 72?
∴ 72 is not a perfect cube. i.e. 216 is a perfect cube. ∴ The smallest number required to multiply 72 to make it a perfect cube is 3.
IS 125 is a perfect cube?
As the cube root of 125 is a whole number, 125 is a perfect cube.
What is the smallest perfect cube?
1 is the cube of 1. 8 is the cube of 2. also 4 is not a perfect cube. therefore 1 is the smallest cube.
What is not a perfect cube?
Cubes and Cube Roots | Exercise 7.1
∴ 128 is not a perfect cube. Hence, 1000 is cube of 10. Here, 100 cannot be grouped into triplets of equal factors. ∴ 100 is not a perfect cube.
What is the cube of 66?
The cube root of 66 is the number which when multiplied by itself three times gives the product as 66. Since 66 can be expressed as 2 × 3 × 11. Therefore, the cube root of 66 = ∛(2 × 3 × 11) = 4.0412.
Is 343 or 243 a perfect cube?
(ii) 243 is not a perfect cube. Here, one triplet is formed, which is 73. Hence, 343 can be expressed as the product of the triplets of 7. Therefore, 343 is a perfect cube.
What should be divided by 375 to make it a perfect cube?
375 = 3 × 5 × 5 × 5 = 3 × 5³. Find the smallest number by which the number 100 must be multiplied to obtain a perfect cube. (d) 10.
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