Q. 23.6( 10 Votes )

# A cube of side 4cm is cut into 1cm cubes. What is the ratio of the surface areas of the original cubes and the cut-out cubes?

A. 1:2

B. 1:3

C. 1:4

D. 1:6

Answer :

The cube has side = 4 cm, as shown below:

Now, the cube is cut into small cubes of each side cm.

The total number of cubes = 4 × 16 = 64 small cubes.

Numbers of cut-out cubes =

Now, surface area of cut-out cubes = 64 × 6 × 1 cm^{2}

And surface area of the original cube = 6 × 4^{2}

The required ratio = = 1:4

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