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In the metric system, 1 gran is the mass of 1 milliliter of water. So, a 2-liter bottle of water has a mass of 2 kilograms. A gallon of water weighs about 8 pounds. What is the mass of a gallon of water to the nearest tenth of a kilogram?Parts A-D

In the metric system, 1 gran is the mass of 1 milliliter of water. So, a 2-liter bottle-example-1
User Ye Liu
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1 Answer

2 votes

We know that:


1\text{ lb }\to0.45\text{ kg}

A)

Using the conversion law, we can calculate the conversion factor as a fraction:


\frac{0.45\text{ kg}}{1\text{ lb}}=\frac{9\text{ kg}}{20\text{ lb}}

B)

Now, we multiplicate 8 pounds by the conversion factor:


\frac{9\text{ kg}}{20\text{ lb}}\cdot8\text{ lb }\approx3.6\text{ kg}

C)

The pound units cancel, resulting in an answer given in kilograms.

D)

When you choose a conversion factor, the unit you are converting to is the first quantity in the rate.

User Arash Rabiee
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