Question

the edges of a cube is 24 cm how many smaller of cube of each of side 8cm can be formed from this larger cube

Answer 1

Let Big cube have side S and small s

Volume of Cube Of Side S
= 24x 24x 24
= 13824 cm3

Volume of a single small cube
= 8x8x8
=512 cm3

no of cubes fored from larger cube
= Volume of larger cube / volume of smaller cube
= 13824 / 512
= 27

Answer 2

Given:

The edge of a larger cube is 24 cm and the edge of a smaller cube is 8 cm.

To find:

The number of small cubes that can be made from a larger cube.

Solution:

The number of small cubes that can be made from a larger cube is 27.

To answer this question, we will follow the following steps:

As we know the volume of a cube having side 'a' is given by:

${a}^{3}$

Now, as given,

We have,

The side of the larger cube = 24 cm

So,

The volume of the larger cube

$= {(24)}^{3} \: {cm}^{3}$

Also given,

The side of the smaller cube = 8 cm

So,

The volume of the smaller cube

$= {(8)}^{3} \: {cm}^{3}$

Hence, the number of smaller cubes that can be made from larger cube

$= \frac{volume \: of \: larger \: cube}{volume \: of \: smaller \: cube}$

$= \frac{ {(24)}^{3} }{ {(8)}^{3} }$

$= 3 \times 3 \times 3$

$= 27$

Hence, 27 smaller cubes can be formed from a larger cube.