Question

Three cubes of edges 6 cms, 8 cms and 10 cms are meted without loss of metal into a single cube. the edge of the new cube will be:

Answer 1

12.....is the answer

Answer 2

Answer:

The area of the new cube is 12 cm.

Step-by-step explanation:

Given

Cube area = 6 cm, 8 cm and 10 cm.

Area of new cube =?.

Step 1:

Since the cube is melted so the volume of the new cube must be the same.

So the Volume of new cube = Volume of cube 1 + cube 2 + cube 3  

Step 2:

Find the volume of cube using the edges given.

$\bold{V=a^{3}}$

Volume of Cube 1= $6^{3}$=216.

Volume of Cube 2=$8^{3}$=512

Volume of Cube 3= $10^{3}$=1000

Step 3:

Substitute the above values in to the  formula in step 1 in order to find the new Cube Volume.

i.e,. Volume of new cube = Volume of cube 1 + cube 2 + cube 3  

Volume of new cube = 216 + 512 + 1000=1728

Step 4:

To find the edge of new cube.

$a^{3}$ = 1728,

$a=(1728)^{(1 / 3)}$

a = 12