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1. Given that 1 cu. cm of marble weights 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

Solution:

Let length = x cm
Then,

\begin{aligned} x \times 28 \times 5 \times \frac{25}{1000} = 112 \\ \Rightarrow x = (112 \times \frac{1000}{25} \times \frac{1}{28} \times \frac{1}{5}) \\ \Rightarrow x = 32 c m \end{aligned}

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