Question

60. The label on a box of cereal gives the mass of cereal in two units: 978 grams and 34.5 oz. Use this information to find a conversion factor between the English and metric units. How many significant figures can you justify in your conversion factor?

Answer 1

Answer : The mass of cereal in two units are, 34.815 oz and 978.075 grams respectively.

Explanation :

As there are two systems for measuring the units which are English and Metric system.

The Metric System measured the things in meters, grams, liters, etc and adds prefixes like kilo, milli and centi to the count orders of the magnitude.

The English system measured the things in feet, inches, pounds, mile, etc.

As we are given the mass of cereal in 978 grams that means 987 grams is in metric unit. Now we have to convert metric unit into English unit.

Conversion factor used : (1 oz = 28.350 g)

As, 28.350 grams = 1 oz

So, 987 grams =
`\frac{987\text{ grams}}{28.350\text{ grams}}* 1oz`

= 34.815 oz

As we are given the mass of cereal in 34.5 oz that means 34.5 oz is in metric unit. Now we have to convert metric unit into English unit.

Conversion factor used : (1 oz = 28.350 g)

As, 1 oz = 28.350 grams

So, 34.5 oz =
`\frac{34.5\text{ oz}}{1\text{ oz}}* 28.350\text{ grams}`

= 978.075 grams

Therefore, the mass of cereal in two units are, 34.815 oz and 978.075 grams respectively.