Question

What is the cube of 8?

Answer 1

Hint: We have to know what cube means. To find the cube of any number, we must multiply the number with itself 3 times. So, to find the cube of 8, we will multiply 8 three times. After that, we will get the required answer to the question.

Complete step by step answer:
In this question we are asked to find the cube of 8. Cube of a number is calculated by multiplying the number by itself and then multiplying the same number by itself again. We can also write that multiplying the number three times gives the cube of that number. If we have to find the cube of any value like x, then we will multiply x three times and it is represented by the same number having 3 on the superscript.
Cube of \[x\] = \[x\times x\times x\]
To find the cube of 8, replace 8 in the position of \[x\] .
Cube of \[8\] = \[{{8}^{3}}\]
Cube of \[8\] = \[8\times 8\times 8\]
 Cube of \[8\]= \[512\]

The correct answer for the cube of \[8\] is \[512\].

Note: Some students are confused between cube and cube root of a number. These both terms are entirely different. Cube of a number is calculated by multiplying it three times by itself whereas the cube root of a number is calculated by a method known as prime factorization. Their representations are also different. Cube of a number is presented by 3 on the superscript whereas the cube root of a number is presented by the \[\sqrt[3]{{}}\] sign. Cube of a number is an odd function and the cube of a positive number is always positive and the cube of a negative number is always negative. Also, cube of even numbers are even and cube of odd numbers are always odd.