Mathematics

A solid cube of edge 14 cm is melted down and recast into smaller and equal cubes each of edge 2 cm. Find the number of smaller cubes obtained.

2 Likes

Side of solid cube = 14 cm

As we know, the volume of a solid cube = side³

= (14)³ cm³

= 2,744 cm³

Side of the smaller cube = 2 cm

Volume of the small cube = side³

= 2³ cm³

= 8 cm³

Let a be the number of smaller cubes.

Volume of the solid cube = Volume of small cube x Number of smaller cubes

⇒ 2,744 = 8 x a

⇒ a = $\dfrac{2,744}{8}$

⇒ a = 343

Hence, the number of smaller cubes obtained is 343.

Answered By

1 Like