Question

Find the cube of 8 ?

Answer 1

Hint: In this question, we need to find the cube of the number which means we need to find the value of $ {{\left( 8 \right)}^{3}} $. For this, we will first multiply the number by itself. The number will then again be multiplied by the original number. The product will be our final answer.

Complete step by step answer:
Here we need to find the cube of 8.
A cube of a number is a number multiplied by itself 3 times. This means that the power of the number is 3. Hence we need to find $ {{\left( 8 \right)}^{3}} $ .
We know that, for any number x, $ {{\left( x \right)}^{3}} $ can be written as $ x\times x\times x $ . So let us first write the given number in this form we get, $ {{\left( 8 \right)}^{3}}=8\times 8\times 8 $ .
Hence we just need to find the product of three numbers 8, 8, 8.
We will first product of 8 by itself. Multiplying 8 with 8, we get, $ 8\times 8 $ .
Now we just need to multiply the number found by 8. So we need to find $ 64\times 8 $ .
\[\begin{align}
  & 0\overset{3}{\mathop{6}}\,4 \\
 & \times 08 \\
 & \overline{512} \\
\end{align}\]
Hence $ 64\times 8=512 $ .
Therefore, $ {{\left( 8 \right)}^{3}}=8\times 8\times 8=64\times 8=512 $ .
$\Rightarrow$ So the required cube of 8 is 512.

Note:
Students often make the mistake of just multiplying 8 by 3 and concluding the final answer. Cube means that we have to multiply the given number by itself 3 times. Similarly, we have a term called a square in which we have to multiply a given number by itself. The symbol for cube is $ {{\left( x \right)}^{3}} $ and symbol of square is $ {{\left( x \right)}^{2}} $ . Students can also get confused between cube and cube root. Cube gives a power of number as 3 whereas cube root gives the power of number as $ \dfrac{1}{3} $ .