
Find the cubes of the following numbers:
$ 7 $
Answer
562.5k+ 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 $ 7 $ , so multiply $ 7 $ three times.
Complete step-by-step answer:
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.
The cube of the given number can be calculated by multiplying the number thrice.
$\Rightarrow {7^3} = 7 \times 7 \times 7 $
Simplify by finding the resultant product.
$\Rightarrow {7^3} = 34 $
Hence, the required answer is – the cube of $ 7 $ is $ 343 $
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.
Complete step-by-step answer:
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.
The cube of the given number can be calculated by multiplying the number thrice.
$\Rightarrow {7^3} = 7 \times 7 \times 7 $
Simplify by finding the resultant product.
$\Rightarrow {7^3} = 34 $
Hence, the required answer is – the cube of $ 7 $ is $ 343 $
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.
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