Question : Three cubes of iron whose edges are 6 cm, 8 cm, and 10 cm, respectively, are melted and formed into a single cube. The edge of the cube formed is:

Option 1: 12 cm

Option 2: 14 cm

Option 3: 16 cm

Option 4: 18 cm


Team Careers360 20th Jan, 2024
Answer (1)
Team Careers360 24th Jan, 2024

Correct Answer: 12 cm


Solution : Given: The edges of three cubes are 6 cm, 8 cm, and 10 cm.
Let the edge of the unknown cube be a.
According to the question,
Volume of the 1st cube + Volume of the 2nd cube + Volume of the 3rd cube = Volume of the large cube
⇒ 6 3 + 8 3 + 10 3 = a 3
⇒ a 3 = 216 + 512 + 1000
⇒ a 3 = 1728
$\therefore$ a = 12
Hence, the correct answer is 12 cm.

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