Question:
Three cubes of metal whose edges are 6 cm, 8 cm and 10 cm respectively are melted to form a single cube. The edge of the new cube is
(a) 12 cm
(b) 24 cm
(c) 18 cm
(d) 20 cm
Solution:
The correct answer is option (a) 12 cm
Explanation:
Given that, the sum of the volume of the three metal cubes = 63 + 83 +103
V = 216+ 512+ 1000
V = 1728 cm3
Let the side of the new cube be “a”
Therefore, the volume of the new cube = sum of the volume of the three cubes
a3 = 1728
Hence, a = 12 cm
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