# 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. - Mathematics

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.

Concept: Volume of a Cuboid
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#### APPEARS IN

RD Sharma Mathematics for Class 9
Chapter 18 Surface Areas and Volume of a Cuboid and Cube
Exercise 18.2 | Q 8 | Page 30

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