Question

 A solid cube of side 24 cm is cut into eight cubes of equal volume. What will be the side of the new cube ?


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Answer 1

Answer:

24*24*24=1/8*a^3

a=12

Answer 2

Answer ::

The side of new small cube is 12cm.

Step-by-step explanation ::

To Find :-

• The side of the new cube

Solution :-

Given that,

• A solid cube of side 24cm is cut into eight cubes of equal volume

Let us assume the unknown side of the small cube,

As we know that,

Volume of cube = a³ cubic units,

∴ Volume of 8 cubes ( side = a³ ) = Volume of the given big club ( side = 24cm )

=> 8 × a³ = 24 × 24 × 24

=> a³ = 24 × 24 × 24 × 1/8

=> a³ = 24 × 24 × 3

=> a³ = 24 × 72

=> a³ = 1728

=> a³ = 12 × 12 × 12

=> a = 12

∴ The side of new small cube is 12cm.