The correct option is
D 2925As per the question, the marble box has
65 rows and
45 columns of marble containers.
∴ Total number of possible marbles in the box= Total number of marble containers=
65×45
65×45 denotes the multiplication of two 2-digits number by a
2-digit number, which can be solved using box method.
65×45 can also be written as
(60+5)×(40+5).
Now, placing the expanded numbers on box as shown in below figure,
Now, multiplying numbers on top of box by number on left of box as shown in below figure,
![](https://df0b18phdhzpx.cloudfront.net/ckeditor_assets/pictures/1238881/original_97.PNG)
Simplifying the numbers inside the boxes as shown in below figure,
![](https://df0b18phdhzpx.cloudfront.net/ckeditor_assets/pictures/1238884/original_98.PNG)
Now, sum of numbers in all the boxes will give the result,
∴ 45×65=2,400+300+200+25=2,925 as shown in below figure,
∴ The marble box, which has
65 rows and
45 columns, can contain
2,925 number of marbles.