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Question
The edges of three cubes of metal are 3 cm, 4 cm, and 5 cm. They are melted and formed into a single cube. Find the edge of the new cube.
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Solution
Volume of melted single cube = 33 + 43 + 53 cm3
= 27 + 64 + 125 cm3
= 216 cm3
Let a be the edge of the new cube.
Volume = 216 cm3
a3 = 216
a3 = 63
a = 6 cm
Therefore, 6 cm is the edge of cube.
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