Three metallic cubes whose sides are 15 cm,20 cm and 25 cm respectively are melted and converted into a single cube
If there is no loss of metal in this process, then what is the length of the side of the new cube?

Correct option is A

Given:
The sides of three cubes = 15 cm, 20 cm, and 25 cm respectively
Concept Used:
When the number of solids reshapes in on solid then the volume of the solid is the same
Formula Used:
Volume of the cube = a$$^3$$​​
Solution:
Let us assume the side of the single cube be X
Volume of the first cube = $$15^3$$​ = 3375 $$cm^3$$​​
Volume of the second cube = $$20^3$$​ = 8000 $$cm^3$$​​
Volume of the third cube = $$25^3$$​ = 15625 $$cm^3$$​​
Total volume of all three cubes = The volume of the reshaped single cube
$$X^3$$​= 3375 + 8000 + 1562 = 27000
=> X = $$\sqrt[3]{27000}$$ = 30 cm