Answer:
<u>There are three possible arrangements of the graduated cylinders on the shelf. </u>
<u>1. 4 rows of 9 graduated cylinders </u>
<u>2. 3 rows of 12 graduated cylinders. </u>
<u>3. 2 rows of 18 graduated cylinders.</u>
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
<u>The teacher wants each row to have the same number of cylinders.</u>
<u>First option of arrangement:</u>
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)
<u>Second option of arrangement:</u>
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)
<u>Third option of arrangement:</u>
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)
<u>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.</u>
