Question
Download Solution PDFThe sides of the three cubes of metal are 15 cm, 18 cm and 25 cm, respectively. Find the side (in cm) of the new cube formed by melting these cubes together.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
The sides of the three cubes of metal are 15 cm, 18 cm and 25 cm, respectively.
Concept used:
Volume of a cube = side3
If we melt three cubes and make a single big cube then the volume will be the same
Calculation:
As per the question,
The volume of the bigger cube is
⇒ 153 + 183 + 253
The side of the bigger cube is
3√(153 + 183 + 253 )
= \(4\sqrt[3]{388}\)
∴ The correct option is 4
Last updated on Jul 10, 2025
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