Question

There are 36 graduated cylinders to put away on a shelf

Answer 1

Answer:

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.