Question

Three cubes of metal whose edges are 6 cm, 8 cm, and 10 cm respectively are melted to form a single cube.
What is the edge of new cube?

Please can anyone answer the question ​

Answer 1

Answer:

12 cm

Step-by-step explanation:

Since we have given that

Length of each edge of first cube = 6 cm

Length of each edge of second cube = 8 cm

Length of each edge of third cube = 10 cm

Since three cubes are melted to form a single cube.

So, volume of three cubes = Volume of new cube.

So, Volume of three cubes is given by

Therefore, (6x6x6) + (8x8x8) + (10x10x10)

= 1728 cm

Let the length of new cube be 'x'.

According to question, it becomes,

1728 = $x^{3}$

$\sqrt[3]{1728} = x$

$x = 12$

Hence, the edge of new cube is 12 cm.

Answer 2

ANSWER :

The length of new cube is 12 cm