How many cubes of 3 cm edge can be out from a cube of 18 cm edge?

A ) 54

B ) 313

C ) 216 ✅

D ) 243


Explanation:

We are given:

  • A large cube with edge = 18 cm
  • Smaller cubes with edge = 3 cm
  • We need to find how many small cubes of 3 cm edge can be cut from the big cube.

✅ Step 1: Find the volume of both cubes

Volume of cube = Side³

  • Volume of large cube:

18³=5832cm³

  • Volume of small cube:

3³=27 cm³

✅ Step 2: Divide volumes to find the number of small cubes

5832/27=216

✅ Final Answer:

216 small cubes of 3 cm edge can be cut from the 18 cm cube.