Question

a solid cube of side 12cm is cut into 8 cubes of equal volume calculate the size of the new cube​

Answer 1

Answer:

Step-by-step explanation:

Volume of old cube =a³

⇒(12)³=1728 cm³

No.of cubes =8

Volume of old cube = 8* volume of 1 new cube

1728=8*a³

1728/8=a³

12/2=a

6 cm=a

Surface area of old cube/ surface area of new cube=6*(12)²/6*(6)²

=144/36=4/1=4:1

Answer 2

$\huge\underline{\tt Explanation:}$

Given :

• Cube of side 12 cm is cut into 8 equal cubes.

To Find :

• Edge/size of the new cube

$\huge\underline{\tt Solution:}$

→ Volume of cube = ( side )³

= ( 12 )³

= 1728 cm³

As stated above, the new 8 cubes are made by cutting a cube of 12 cm.

So,

Volume of cube = 8 × volume of each small cube

⇒ 1728 = 8 × volume of each small cube.

⇒ volume of each small cube $= \dfrac{1728}{8}$

∴ Volume of each small cube = 216

Now,

Edge of new cube = ∛216

= 6 cm.

Therefore,

Edge of the new cube is 6 cm.

$\rule{200}2$