Question

What is the weight of 3.5 kilo liters of water in kilograms, if the weight of 1 cu cm of water is 1 g?
A. 35 kg
B. 350 kg
C. 3500 kg
D. 3500 g

Answer 1

Hint:
First we will convert the kilo liter into milliliters, then we will use the relation that 1 milliliter is equal to 1 cu cm, then we will convert the kilo liter into cu cm, and then we will calculate the weight of the water required in the question.

Complete step by step solution:
We know that
1 cu cm \[ = \] 1 milliliter … (i)
And 1 kilo liter \[ = \] 1000 milliliter …(ii)
So, 1 kilo liter \[ = \] 1000 cu cm (from using equation (i) and (ii))
So, in the question we have found the weight of 3.5 kilo liter of water, so converting it into cu cm we get.
 \[ \Rightarrow \] 3.5 kilo liter \[ = \] 3.5 $ \times $ 1000 cu cm
So, we have,
 \[ \Rightarrow \] 3.5 kilo liter \[ = \] 3500 cu cm … (iii)
As we are given that weight of 1 cu cm is 1 g, using it on the equation (iii) we get
Weight of 3.5 kilo litres of water weighs 3500 g.

So, the correct option is D.

Note:
When dealing with such kinds of questions try to convert all the values in the same unit or at least try to convert all the values in a single unit and after simplifications convert the final value into your desired unit or in the unit which is being asked in the question.