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Question

Question: How do you convert \( 15{m^3} \) to liters?...

How do you convert 15m315{m^3} to liters?

Explanation

Solution

Hint : Here first observe the unit in 15m315{m^3} , it is m3{m^3} and we know that it is the unit of the volume. Volume of any container of the liquid can also be defined in liters and milliliters. But, here the conversion we have to do is in meters to liters thus we have to use a basic conversion of
1000m3=1liter1000{m^3} = 1liter and calculate the required answer.

Complete Step By Step Answer:
Here, we have to make the conversion of meters to liters such that the given value should be converted to liters with all the proper procedure.
Let us consider that
1000m3=1liter1000{m^3} = 1liter
Thus, 1m3=11000liter1{m^3} = \dfrac{1}{{1000}}liter
We are asked about 15m315{m^3} in to liters
Therefore, from above equation we have
15m3=15×11000liters15{m^3} = 15 \times \dfrac{1}{{1000}}liters
On solving the above equation accordingly we get:
15m3=15×103liters\Rightarrow 15{m^3} = 15 \times {10^{ - 3}}liters
Thus, here we have converted the given value 15m315{m^3} into 15×103liters15 \times {10^{ - 3}}liters .
Hence, the correct answer is 15×103liters15 \times {10^{ - 3}}liters .

Note :
In these types of conversion problems we have to understand what will be the smallest part of any big quantity and then convert accordingly. Here, we have used the meter to liter conversion because we knew that the volume can be expressed in m3{m^3} as well as in liters too. Thus, it became simple to calculate the conversion of meter to liter. In this way we can solve such types of conversion problems of any value or whatever the value is.