Question

Three metallic solid cubes of sides 6 em, 8 cm and 10 cm are melted to form a single cube. The length of the edge of the new cube is

(A) 15 cm

(C) 13 cm

(B) 14 cm

(D) 12 cm​

Answer 1

Answer:

(D). 12 cm

Step-by-step explanation:

Given cubes of side lengths 6 cm, 8 cm, 10 cm.

Volume remains same so volume of new cube = sum of volumes of three cubes= v1+v2+v3

=6

3

+8

3

+10

3

=216+512+1000

=1728

Now volume of new cube =a

3

=1728=(12)

3

Edge of new cube =a=12.