A metal cube of edge 12 cm is melted and formed into three smaller cubes. If the edge of the two smaller cubes are 6 cm and 8 cm, find the edge of the third smaller cube.

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Solution

Let,

Side of the cube

Volume of the cube

Sides of the three smaller cubes

Volumes of the three smaller cubes

We have,

,

We know that,

Edge of the third smaller cube is .

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A metal cube of edge 12 cm is melted and formed into three smaller cubes. If the edge of the two smaller cubes are 6 cm and 8 cm, find the edge of the third smaller cube.

Let, Side of the cube Volume of the cube Sides of the three smaller cubes Volumes of the three smaller cubes We have, , We know that, Edge of the third smaller cube is .

Let,

Side of the cube

Volume of the cube

Sides of the three smaller cubes

Volumes of the three smaller cubes

We have,

,

We know that,

Edge of the third smaller cube is .