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Question
Three solid cubes of edges 6 cm, 10 cm, and x cm are melted to form a single cube of edge 12 cm, find the value of x.
Solution
Edge of first cube = 6 cm
Volume = (6)3 = 216 cm3
Edge of second cube = 10 cm
Volume = (10)3 = 1000 cm3
Edge of third cube = x
Volume =x3
Edge of resulting cube = 12 cm
Volume = (12)3 = 1728 cm3
216 + 1000 + x3 = 1728
x3 = 1728 – 216 – 1000 = 512 = (8)3
x = 8
Edge of third cube = 8 cm
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