Answer:
250 smaller cuboids
Step-by-step explanation:
Given
Small and Big cuboids
Required
Number of smaller cuboids in the big one
To do this, we calculate the volume of both cuboids.
[tex]Volume = Length * Width * Height[/tex]
For the small cuboid
[tex]V_1 = 10cm * 3cm * 4cm[/tex]
[tex]V_1 = 120cm^3[/tex]
For the big cuboid
[tex]V_2 = 50cm * 30cm * 20cm[/tex]
[tex]V_2 = 30000cm^3[/tex]
The number of small in big is then calculated by diving the volumes
[tex]Number = \frac{V_2}{V_1}[/tex]
[tex]Number = \frac{30000cm^3}{120cm^3}[/tex]
[tex]Number = \frac{30000}{120}[/tex]
[tex]Number = 250[/tex]
Hence, there are 250 small cuboids in the large one
