The number of smaller boxes to completely fill the larger one is, 250.
Volume of cuboid :
The volume of cuboid is computed as,
[tex]Volume=length*width*height[/tex]
From given figure, It is observed that length , width and height of larger box is 50 cm, 30 cm and 20 cm respectively.
Volume of larger box is,
[tex]Volume=50*30*20=30000cm^{3}[/tex]
The length , width and height of larger box is 10 cm, 3 cm and 4 cm respectively.
Volume of smaller box is,
[tex]Volume=10*3*4=120cm^{3}[/tex]
Number of smaller boxes to completely fill the larger one is,
[tex]=\frac{30000}{120}=250[/tex]
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