By taking the quotient between the volumes, we will see that we need 240 blocks.
How many cubical blocks do we need?
To find the number of smaller cubes that we need, we need to find the quotient between the volume of the larger figure and the volume of the smaller cube.
The larger figure has dimensions of 10cm by 12cm by 16cm, then the volume is:
V = 10cm*12cm*16cm = 1,920 cm^3
The volume of the cubical blocks is equal to the side length cubed, so the volume is:
v = (2cm)^3 = 8 cm^3
The quotient gives:
V/v = (1,920 cm^3)/(8 cm^3) = 240
This means that we need 240 cubical blocks to make the rectangular box.
If you want to learn more about volumes, you can read:
https://brainly.com/question/1972490
