Question

Find the cubes of the following number: 12

Answer 1

Hint: In this question, we need to find the cube of the number which means we need to find the value of ${{\left( 12 \right)}^{3}}$. For this, we will first multiply the number by itself. The number will then again be multiplied by the final number. The product will be our final answer.

Complete step-by-step solution:
Here we need to find the cube of 12.
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 ${{\left( 12 \right)}^{3}}$.
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 ${{\left( 12 \right)}^{3}}=12\times 12\times 12$.
Hence, we just need to find the product of three numbers 12, 12, 12.
We will be the first product of 12 by itself. Multiplying 12 with 12 we get $12\times 12=144$.

Now we just need to multiply the number found by 12. So we need to find $144\times 12$.

Hence $144\times 12=1728$.
Therefore, ${{\left( 12 \right)}^{3}}=12\times 12\times 12=144\times 12=1728$.
So the required cube of 12 is 1728.

Note:: Students often make the mistake of just multiplying 12 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 the cube is ${{\left( x \right)}^{3}}$ and the symbol for square is ${{\left( x \right)}^{2}}$. Students can also get confused between cube and cube root. Cube gives the power of number as 3 whereas cube root gives the power of number as $\dfrac{1}{3}$.