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Given that one cubic cm of marble weighs 25 gms, the weight of a marble block 28 cm in width and 5 cm thick is 112 kg. The length of the block is:

  • A.26.5 cm
  • B.32 cm
  • C.36 cm
  • D.37.5 cm

Answer: B

Turn the weight into a volume, then divide out the two known dimensions.

\[ 112 \text{ kg} = 112{,}000 \text{ g} \quad\Longrightarrow\quad V = \frac{112000}{25} = 4480 \text{ cm}^{3} \]

\[ \text{length} = \frac{4480}{28 \times 5} = \frac{4480}{140} = 32 \text{ cm} \]

The density is per gram, so the kilograms must be converted first.

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