Question

Find the cube of 6.

Answer 1

Hint: Here, we have to find the cube of a number 6. To find the cube of a number, we will multiply the number three times of which we have to find the cube. First we will apply the exponent 3 on the base 6 which will be equal to the multiplication of the given number thrice and then we will multiply the first two numbers, here both the numbers are 6. Then we will again multiply the same number with the calculated product of the first two numbers. After this, we will get the required cube of the given number.

Complete step-by-step answer:
The number given in the question is 6 and we have to find the cube of the given number.
Let’s first write 6 with power 3.
${{6}^{3}}$
Now, we will apply the exponent 3 on the base 6, which will be equal to the three times multiplication of the number 6.
$\Rightarrow$ ${{6}^{3}}=6\times 6\times 6$
Now, we will multiply the first two numbers, here both the numbers are 6, 6.
$\Rightarrow$ ${{6}^{3}}=36\times 6$
Now, we will again multiply 36 with 6.
$\Rightarrow$ ${{6}^{3}}=216$
Hence, the cube of 6 is 216.

Note: Here we have calculated the cube of a number. There are some important properties of a cube of a number.
Number whose unit’s digit is 1, their cubes will also have their unit’s digit as 1. For example-
$\begin{align}
  & {{1}^{3}}=1 \\
 & {{11}^{3}}=121 \\
\end{align}$
The unit’s digit of a cube of a number having 2 as their unit’ s digit is 8 and the unit’s digit of a cube of a number having 8 as their unit’ s digit is 2.
For example-
$\begin{align}
  & {{2}^{3}}=8 \\
 & {{18}^{3}}=5832 \\
\end{align}$
The cubes of odd numbers are also odd numbers and cubes of even numbers are also even numbers. For example-
 $\begin{align}
  & {{6}^{3}}=216 \\
 & {{3}^{3}}=27 \\
\end{align}$
Here 6 is an even number and the cube of 6 is also an even number which is 216. Similarly, 3 is an odd number and its cube is also an odd number which is 27.