There are 36 graduated cylinders to put away on a shelf
after science class. the shelf can fit a maximum of
20 cylinders across and 4 cylinders deep. the teacher
wants each row to have the same number of cylinders.
list the possible arrangements of the graduated
cylinders on the shelf.

There are three possible arrangements of the graduated  cylinders on the shelf.

1. 4 rows of 9 graduated cylinders

2. 3 rows of 12 graduated cylinders.

3. 2 rows of 18 graduated cylinders.

Step-by-step explanation:

Number of graduated cylinders to put away on the shelf = 36

Maximum number of graduated cylinders that can fit across = 20

Maximum number of graduated cylinders that can fit deep = 4

The teacher  wants each row to have the same number of cylinders.

First option of arrangement:

4 rows of 9 graduated cylinders

It fits across (less or equal to 20) and deep (less or equal to 4)

Total of graduated cylinders used = 36 ( 4 x 9)

Second option of arrangement:

3 rows of 12 graduated cylinders

It fits across (less or equal to 20) and deep (less or equal to 4)

Total of graduated cylinders used = 36 ( 3 x 12)

Third option of arrangement:

2 rows of 18 graduated cylinders

It fits across (less or equal to 20) and deep (less or equal to 4)

Total of graduated cylinders used = 36 ( 2 x 18)

No other arrangement is possible, because a only row of 36 graduated cylinders doesn't fit across or 6 rows of 6 don't fit deep.

the answer is 375 miles

step-by-step explanation: