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RD Sharma Solutions Class 9 Mathematics Solutions for Surface Area And Volume Of A Cuboid And Cube Exercise 18.2 in Chapter 18 - Surface Area And Volume Of A Cuboid And Cube

Question 6 Surface Area And Volume Of A Cuboid And Cube Exercise 18.2

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.

Answer:

From the given statement, we have Volume of the large cube = v1 + v2 + v3 Let the edge of the third cube be ‘x’ cm 123 = 63 + 83 + x3 [Using formula, Volume of cube = (side)3] 1728 = 216 + 512 + x3 or 1000 = x3 or x = 10 Therefore, length of the third side is 10 cm.

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