#### Question

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

#### Solution

Volume of large cube `= V_1+V_2+V_3`

Let the edge of the third cube be x cm

`123^3 = 6^3+8^3+x^3`

`1728=216+512+x^3`

⇒`x^3=1728-728=1000`

⇒`x=10cm`

∴Side of third side= 10cm.

Is there an error in this question or solution?

Solution A Metal Cube of Edge 12 Cm is Melted and Formed into Three Smaller Cubes. If the Edges of the Two Smaller Cubes Are 6 Cm and 8 Cm, Find the Edge of the Third Smaller Cube. Concept: Volume of a Cuboid.