Question

Divide 60 into three parts so that the product of the three parts will be the maximum. Find the product. Ans (8000)

Answer 1

Answer:

Step-by-step explanation:

i dont know sorry

Answer 2

Given :

The number which is to be divided into three parts is $60$.

To find :

The product of the three parts must be maximum.

Step-by-step explanation :

• $60$ is to be divided into three parts.
• Let us see this with the help of two cases.
• In case 1, the number $60$ is divided into three parts such that the product of these three parts is maximum.
• In case 2, the number $60$ is divided into three parts with different values such that the product of these three parts is lesser than the first case.
• Thus the number $60$ can be divided into three parts with many different values but the product of the three numbers should be always maximum.
• The expression will be

         $\frac{60}{3}$

• Which is $20$.

• $60$ is divided as $20, 20, 20$ which produces the maximum product value.
• Take the product of $20$

       $(20)(20)(20)$

• Remove the brackets

        $8000$

• This is the maximum product value we get if we divide $60$ into three parts.

Final Answer :

Thus, $60$ is divided into three parts $20, 20, 20$ whose product has a maximum value of $8000$.