we conclude that 900 cubes enter in the given box.
We need to find the volumes of both figures.
The blocks are cubes of 2cm by 2cm by 2cm, then the volume of each block is:
[tex]V = (2cm)^3 = 8cm^3[/tex]
The box has dimensions of 10cm by 12cm by 60cm, then the volume is:
[tex]V = 10cm*12cm*60cm = 7,200 cm^3[/tex]
The number of cubes that enter in the box is N such that:
[tex]N*8cm^3 = 7,200cm^3[/tex]
Solving for N, we get:
[tex]N = 7200cm^3/8cm^3 = 900[/tex]
In this way, we conclude that 900 cubes enter in the given box.
If you want to learn more about volumes:
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