Question

A solid cube of side 12cm is cut into eight cubes of equal volume. Calculate size of new cube.​

Answer 1

Answer:

the size of the new cube is 6 cm.

Step-by-step explanation:

GIVEN :  size of original cube = A = 12 cm

Number of new cubes = 8

Let, new cube have size = a

Formula : Volume of cube = side x side x side =( side)³

Volume of original cube = no. of new cubes X volume of a new cube

A³ = 8 x a³

⇒    12 x 12 x 12 = 8 x a³

⇒     a³ = (12 x 12 x 12) ÷ 8

⇒     a³ = (12/2)³

⇒     ∛a =12/2 = 6

∴       a = 6 cm

Hence size of new cube is 6 cm.