Question

Three cubes each side of 3 cm,4cm and 5cm are joined to form a cube find the length of new cube

Answer 1

Total volume of 3 cubes = (33 + 43 + 53 ) cm3

                                   = (27 + 64 + 125)cm3

                                   = 216 cm3

Now volume of new cube = 216 cm3

So edge of new cube = cube root of 216 cm3

                               = 6 cm

Answer 2

Question :

Three cubes of sides 3 cm, 4cm and 5 cm are melted and a new cube is formed. Find the edges of new cube.

To Find :

Edges of the new cube

Answer :

Answer of your question is 6 cm

Step by Step explanation :

Given:

Side of the 1st cube: 3 cm

Side of the 2nd cube: 4 cm

Side of the 3rd cube: 5 cm

Let us find the volume of the respective cubes,

Volume of the first cube: $\mathsf {27\:{cm}^{3}}$

Volume of the second cube: $\mathsf { 64\:{cm}^{3}}$

Volume of the third cube: $\mathsf {125\:{cm}^{3}}$

We get the total volume as:

$:\implies \mathsf {27 + 64 + 125}$

$:\implies \mathsf {216\:{cm}^{3}}$

Then the side of the new cube will be=$\mathsf {{a}^{3}}$

$:\implies \mathsf {{a}^{3}= 216\:{cm}^{3}}$

$:\implies \mathsf {6\:cm}$