How many cubes of length 50 cm can be accommodated in a container of 5 m in length, 2 m in width and 5 m in height?

First, convert all dimensions into the same units. Let's convert meters to centimeters:
Length of the container = 5 m=500 cm

Width of the container = 2 m=200 cm

Height of the container = 5 m=500 cm

The volume of the rectangular container is:

Volume of container=length×width×height=500×200×500 cm
3

The side of each cube is a=50 cm. The volume of one cube is:

Volume of one cube=a
3
=50×50×50 cm
3

The total number of cubes that can be accommodated is:

Number of cubes=
Volume of one cube
Volume of container
​

Number of cubes=
50×50×50
500×200×500
​

Number of cubes=10×4×10=400