There are four cuboidal boxes with dimensions (in cm) as given below:
Length Breadth Height
I. 20 25 18
II. 23 20 20
III. 20 22 21
IV. 24 20 19
Using which boxes can 18440 wooden centimeter cubes be packed?

Correct option is C

To solve the problem, we need to calculate the volume of each cuboidal box and determine which
combination of boxes can hold a total of 18,440 cubic centimeters, which represents the total
volume of wooden centimeter cubes.
Step 1: Calculate the volume of each cuboidal box using the formula: Volume=Length×Breadth×Height
 Box I:
Volume = 20×25×18=9000 cubic cm
 Box II:
Volume = 23×20×20=9200 cubic cm
 Box III:
Volume = 20×22×21=9240 cubic cm
 Box IV:
Volume = 24×20×19=9120 cubic cm
Step 2: Check the combinations of the volumes to match the total volume of 18,440 cubic cm.
Option (a): I and II:
Total volume = 9000+9200=18,200 cubic cm (not a match)
Option (b): I and III:
Total volume = 9000+9240=18,240 cubic cm (not a match)
Option (c): II and III:
Total volume = 9200+9240=18,440 cubic cm (this is a match)
Option (d): II and IV:
Total volume = 9200+9120=18,320 cubic cm (not a match)
Hence, the correct answer is (c) II and III.