Question
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 :
Answer: Option B
Let length = x cm
Then,
$$\eqalign{
& x \times 28 \times 5 \times \frac{{25}}{{1000}} = 112 \cr
& \Rightarrow x = \left( {112 \times \frac{{1000}}{{25}} \times \frac{1}{{28}} \times \frac{1}{5}} \right) \cr
& \Rightarrow x = 32\,cm \cr} $$
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Let length = x cm
Then,
$$\eqalign{
& x \times 28 \times 5 \times \frac{{25}}{{1000}} = 112 \cr
& \Rightarrow x = \left( {112 \times \frac{{1000}}{{25}} \times \frac{1}{{28}} \times \frac{1}{5}} \right) \cr
& \Rightarrow x = 32\,cm \cr} $$
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