What is the cube of $ 6 $ ?
Answer
547.2k+ views
Hint: When the same natural number is multiplied thrice, we get the cube of that number. It is denoted as the exponent with the power For example – the cube of “n” number is expressed as $ {n^3} = n \times n \times n $ . Here, we are asked to find the cube of $ 6 $ , so multiply $ 6 $ three times.
Complete step-by-step answer:
Know the concepts of squares and cubes. Square is the number multiplied itself and cube it the number multiplied thrice. Square is the product of same number twice such as $ {n^2} = n \times n $ for Example square of $ 2 $ is $ {2^2} = 2 \times 2 $ simplified form of squared number is $ {2^2} = 2 \times 2 = 4 $ .
Take the given number: $ 6 $
Cube of the given number is $ = 6 \times 6 \times 6 $
Simplify the above expression finding the product of the terms.
Cube $ = 216 $
Hence, the cube of $ 6 $ is $ 216 $
This is the required solution.
So, the correct answer is “216”.
Note: You should be very good in multiples. As, ultimately your answer depends on the multiplication of the numbers. Also, know the basic difference between the cubes and cube roots and apply accordingly. Cube root can be defined as the number which produces a given number when cubed. In other words, the cube-root of a number is the factor which is multiplied by it three times to get that number. It is expressed as $ \sqrt[3]{n} $ and is read as the cube root of the number “n”. For example $ \sqrt[3]{{27}} = \sqrt[3]{{3 \times 3 \times 3}} = 3 $ since here, the number “ $ 3 $ “ is repeated three times.
Complete step-by-step answer:
Know the concepts of squares and cubes. Square is the number multiplied itself and cube it the number multiplied thrice. Square is the product of same number twice such as $ {n^2} = n \times n $ for Example square of $ 2 $ is $ {2^2} = 2 \times 2 $ simplified form of squared number is $ {2^2} = 2 \times 2 = 4 $ .
Take the given number: $ 6 $
Cube of the given number is $ = 6 \times 6 \times 6 $
Simplify the above expression finding the product of the terms.
Cube $ = 216 $
Hence, the cube of $ 6 $ is $ 216 $
This is the required solution.
So, the correct answer is “216”.
Note: You should be very good in multiples. As, ultimately your answer depends on the multiplication of the numbers. Also, know the basic difference between the cubes and cube roots and apply accordingly. Cube root can be defined as the number which produces a given number when cubed. In other words, the cube-root of a number is the factor which is multiplied by it three times to get that number. It is expressed as $ \sqrt[3]{n} $ and is read as the cube root of the number “n”. For example $ \sqrt[3]{{27}} = \sqrt[3]{{3 \times 3 \times 3}} = 3 $ since here, the number “ $ 3 $ “ is repeated three times.
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