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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. - CBSE Class 9 - Mathematics

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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.

 

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APPEARS IN

 RD Sharma Solution for Mathematics for Class 9 by R D Sharma (2018-19 Session) (2018 to Current)
Chapter 18: Surface Areas and Volume of a Cuboid and Cube
Ex.18.20 | Q: 8 | Page no. 30
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.
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