A total of 1250 pens were distributed among some students such that each student received the maximum possible number of pens. What is the number of students provided that the number of pens with each student is a perfect cube?
No.
It means that 10 students can each receive 125 pens, since 125 is a perfect cube.
1250 = 10*5^3
i know this.
but is this answer????
thank you
To find the number of students, we need to consider the fact that each student received the maximum possible number of pens. This means that the number of pens should be distributed evenly among all the students.
Since we are looking for a perfect cube, we need to find the largest perfect cube that is less than or equal to 1250. The largest perfect cube less than 1250 is 10^3, which is equal to 1000.
Now, let's calculate how many students received 1000 pens each. We divide the total number of pens (1250) by the number of pens given to each student (1000):
1250 / 1000 = 1.25
Since we can't have a fraction of a student, we need to round down to the nearest whole number. Therefore, the number of students is 1.
So, the answer is: The number of students, provided that each student received the maximum possible number of pens which is a perfect cube, is 1.