Question

Find (i) cube of 3 (ii) cube of 6

Answer 1

Hint: Multiply the given number say 3 with itself three times i.e. 3 × 3 × 3. The product thus obtained is the answer for the first part. Now, repeat the same steps for finding the cube of 6.

Complete step by step solution:
Here, we are given two numbers 3 and 6.
And we are asked to compute their respective cubes.
We will be doing this one at a time.
(i) Let us work on the cube of 3 now.
We need to know first what it means by finding the cube of a number.
Finding the cube of a number means finding the value of a number after it is multiplied with itself three times.
Now, if x is a number whose cube is to be found out, then the cube of x is denoted by ${x^3}$ i.e. 3 is a power of x and we read it as ‘x cubed’.
We will do the same for 3 in this part.
Now consider the cube of 3, that is, ${x^3}$
${3^3} = 3 \times 3 \times 3 = 27$
So, the product of 3 multiplied with itself thrice is 27.
Thus, we can say that the cube of 3 is 27 and we will read this as ‘3 cubed is 27’.
(ii) We will now calculate the cube of 6.
Now that we already know the process of computing the cube of a number, we can directly apply the steps of part (i) in this case.
That is, to find the cube of 6 or ‘6 cubed’, we multiply 6 with itself three times as follows:
${6^3} = 6 \times 6 \times 6 = 216$
Hence, the cube of 6 is 216 or ‘6 cubed is 216’.

Note: One needs to be careful that you are not finding the cube root instead of cube. It is a must that you read the question carefully and realize that you are not going to factorize the given number in such questions.