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Question

If a metallic cuboid weight  16 kg . how much would a miniature cuboid of metal weight if all  dimensions are reduced to one-fourth of the original ?


Options:
A .  0.25 kg
B .  0.50 kg
C .  0.75 kg
D .  1 kg.
Answer: Option A

Let the dimensions of the bigger cuboid be  `x, y and z`.

Then , volume of the bigger cuboid = `xyz`

Volume of the miniature cuboid = `(1/4 x) ( 1/4 y) (1/4  z)` = ` 1/64  xyz`

`:.`  Weight of the miniature cuboid = `(1/64 xx 16)` kg = 0.25 kg .



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