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If a cube of side 20 cm is divided into smaller cubes of side 4 cm, then what is the total number of smaller cubes?
Question

If a cube of side 20 cm is divided into smaller cubes of side 4 cm, then what is the total number of smaller cubes?

A.

64

B.

125

C.

100

D.

27

Correct option is B

Given:
Side of the large cube = 20 cm, Side of the smaller cube = 4 cm

Formula Used:
The number of smaller cubes = (Sideoflargecube/Sideofsmallcube)3(Side of large cube / Side of small cube)^3​​

Solution:
Number of smaller cubes = (20/4)3=53=125(20 / 4)^3 = 5^3 = 125​​


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