how many cubes of Side 2 cm can be made from a solid cube of side 10cm
Answers
Answer:
125.
Step-by-step explanation:
No. Of cubes formed=(10*10*10)%(2*2*2)
=(1000) %(8)=125.
Given,
Length of each side of the solid cube = 10 cm
Length of each side of the smaller cubes = 2 cm
To find,
The number of smaller cubes formed out of the bigger solid cube.
Solution,
We can simply solve this mathematical problem using the following process:
Mathematically,
For a cube having each side equal to a units,
volume = a^3 cubic units
Now,
the volume of the bigger solid cube
= (each side)^3
= (10 cm)^3
= 1000 cm^3
the volume of each smaller cubes
= (each side)^3
= (2 cm)^3
= 8 cm^3
Now,
The total number of smaller cubes formed out of the bigger solid cube
= (volume of the bigger solid cube) / (volume of each smaller cube)
= 1000 cm^3 / 8 cm^3
= 125 cubes
Hence, 125 smaller cubes can be formed out of the bigger solid cube.