Question

4. Find the number of 4 cm cubes that can be
cut out of a 12 cm cube.​

Answer 1

Answer:

27 such cubes can be made of 4 cm side from a 12 cm cube.

Answer 2

27 small cubes can be formed from a big cube

Step-by-step explanation:

We Have :-

Big Cube

Side = 12 cm

Small Cube

Side = 4 cm

To Find :-

Number of 4 cm cubes that can be cut out of a 12 cm cube.

Formula Used :-

Volume of cube = Side³

Solution :-

Big Cube -

Volume = Side³

Side = 12 cm

Volume = 12 × 12 × 12

Volume = 1728 cm³

Small Cube -

Volume = Side³

Side = 4 cm

Volume = 4 × 4 × 4

Volume = 64 cm³

Number of cubes that can be cut

$number \: of \: cubes \: that \: can \: be \: cut = \dfrac{volume \: of \: big \: cube}{volume \: of \: small \: cube} \\ \\ number \: of \: cubes \: that \: can \: be \: cut = \dfrac{1728}{64} \\ \\ number \: of \: cubes \: that \: can \: be \: cut =27$

27 small cubes can be formed from a big cube