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RD Sharma Solutions Class 8 Mathematics Solutions for Volume Surface Area Cuboid Cube Exercise 21.4 in Chapter 21 - Volume Surface Area Cuboid Cube
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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.
Answer:
Given details are,
Edge of metal cube (volume) = 12cm
Edge of smaller two cubes = 6cm, 8cm
Let edge of third cube be ‘a’ cm
So,
Volume of metal cube = sum of volume of three small cubes 123 = 63 + 83 + a3
1728 = 216 + 512 + a3
a3 = 1728 – 216 – 512
= 1000 a = 3√1000
= 10cm
∴ Edge of third smaller cube is 10cm.
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