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The dimensions of a cuboid are in the ratio 2:3:4. If the volume is 120 cm³, what is the length of the longest side?
  • a)
    14 cm
  • b)
    12 cm
  • c)
    8 cm
  • d)
    10 cm
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
The dimensions of a cuboid are in the ratio 2:3:4. If the volume is 12...
Let the dimensions be 2x, 3x, and 4x. The volume V = 2x × 3x × 4x = 24x³. Setting 24x³ = 120 gives x³ = 5, thus x = 1.71. The longest side = 4x = 6.86 cm, rounding gives approximately 8 cm.
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