Maths · Arithmetic and Geometric progressions

If a metallic cuboid weighs , how much would a miniature cuboid of metal weigh,

If a metallic cuboid weighs \( 16 \mathrm{kg} \), how much would a miniature cuboid of metal weigh, if all dimensions are reduced to one-fourth of the original?

  • A. \( 0.25 k g \)
  • B. \( 0.50 k g \)
  • C. \( 0.75 k g \)
  • D. \( 1 k g \)

Step-by-step solution

Weight is proportional to volume. If all dimensions are reduced to one-fourth, new volume = (1/4)^3 = 1/64 of original. New weight = 16 kg × 1/64 = 0.25 kg.
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