We always provide the solution of Math question to our student in easy words This question (How to solve 1^3+2^3+3^3+4^3+5^3 to 60^3 formula calculator) is taken from the cube lesson.
The solution of this question has been explained in a very simple way by a well-known teacher by doing addition, subtraction, and fractions.
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Let us know how to solve this question How to solve 1^3+2^3+3^3+4^3+5^3 to 60^3 formula calculator.

First write the question on the page of the notebook.

## How to solve 1^3+2^3+3^3+4^3+5^3 to 60^3 formula calculator

To know the solution of this article, first of all, according to your understanding, we will write this question in such a way.

\displaystyle {{1}^{3}}+{{2}^{3}}+{{3}^{3}}+{{4}^{3}}+{{5}^{3}}+……+{{60}^{3}}

By understanding this question, we come to know that it is going on according to a chain. Therefore, we will solve this question with the help of the following formula.

FORMULA :

\displaystyle \mathop{S}_{n}={{\left( {\frac{{n(n+1)}}{2}} \right)}^{2}}

here ,

n = 60

putting the value of n in this formula-

\displaystyle \mathop{S}_{{60}}={{\left( {\frac{{60(60+1)}}{2}} \right)}^{2}}

\displaystyle \mathop{S}_{{60}}={{\left( {\frac{{60(61)}}{2}} \right)}^{2}}

\displaystyle \mathop{S}_{{60}}={{\left( {\frac{{\cancel{2}\times 30(61)}}{{\cancel{2}}}} \right)}^{2}}

\displaystyle \mathop{S}_{{60}}={{\left( {30(61)} \right)}^{2}}

\displaystyle \mathop{S}_{{60}}={{\left( {1830} \right)}^{2}}

\displaystyle \mathop{S}_{{60}}=3348900 