Question:

A cube has each side of 8 cm. In to how many smaller cubes of sides 2 cm each can it be divided?

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Divide the dimensions to find how many cubes fit along each edge, then cube that number for total smaller cubes.
  • 512
  • 256
  • 8
  • 64
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The Correct Option is D

Solution and Explanation

We are given:
Side length of the large cube = 8 cm
Side length of the smaller cube = 2 cm
We find how many smaller cubes fit along each edge:
\[ \frac{8}{2} = 4 \] So, in each dimension (length, width, height), we can fit 4 small cubes.
The total number of small cubes in the big cube is:
\[ 4 \times 4 \times 4 = 64 \] \[ \boxed{64} \]
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