Question

Ganesh and Dinga want to pack 4000 centimetre cubes in boxes. These are to be sent to a school. There are three different boxes available for packing.



• What is your guess? Who is right?
• How can Ganesh and Dinga test their guesses before packing the cubes in the boxes? Discuss with your friend.
Use Ganesh's method and write:
• _________ centimetre cubes can be arranged in box B.
• _________ centimetre cubes can be arranged in box C.
• So _________ centimetre cubes in all can be packed in the three boxes.

Answer 1

• I guess that the cubes will fit in all the 3 boxes put together. Dinga's guess is correct.

• First of all, we will find how many cubes each box will contain, and then all the cubes will be added together to cross-check the guess.

• In the first layer of box B, we can keep 11 $\times$ 11 = 121 cubes.
There are 10 such layers.
So, in box B, we can arrange 10 $\times$ 121 = 1210 cubes

• In the first layer of box C, we can keep 15 $\times$ 9 = 135 cubes.
There are 10 such layers.
So, in box C, we can arrange 10 $\times$ 135 = 1350 cubes

• In all the three boxes we can arrange 1200 + 1210 + 1350 = 3760 cubes
So, 3760 centimetre cubes in total can be packed in three boxes.

Disclaimer: The first two part of the answer may vary from student to student. The answers provided here are for reference only.