Question

The metal cube with edges 3 cm 4cm and 5 cm are kelted to form a singke cube find the area of side formed in the large cube

Answer 1

Hii!!

Here's Ur answer...

Given the edges of the cubes are 3cm, 4cm and 5cm.

Total volume of the three cubes = (3)³ + (4)³ + (5)³

= 27 + 64 + 125

= 216cm³

Therefore side³ = 216cm³

==> Side = ³√216

==> Side = 6cm

Hence, the side of the cube after melting those 3 cubes is 6cm.

Hope this helps..!!

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=$\mathsf {{a}^{3}}$

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

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