Factors For Converting Surface Area Units

Dealing with surface Area conversions is one of the most basic things in Mathematics that you should know. Conversions are the most useful when you are dealing with so many different surface measurement units. So, first of all, what exactly is the surface area of any object? What you must know is that the surface area of a three-dimensional object is the sum of all of its faces. 

The best way to understand surface area units is through real-life applications. Some situations where the concept of surface areas becomes relevant are wrapping, painting, and building things to achieve the best potential design.

You have a situation. Is your car is going faster or slower 30 miles every hour compared to another car moving at 30 feet per second? So, what would you do to convert miles to kilometres?

These questions bug everyone—not just students. However, if you know a little algebra, you can easily solve any doubts about surface measurement units. Any conversion can be completed quickly and accurately.

What Is Surface Area?

An item’s surface area is a part of the entire area that the article’s exterior covers. In comparison to the meaning of the circular segment length of one-dimensional bends or the surface zone for polyhedra, for which the surface area is the entirety of the zones of its countenances, the scientific definition of the surface region within sight of bent surfaces is noticeably more necessary. Using their representation as parametric surfaces, smooth surfaces, like a circle, are consigned to surface space.

Conversion Factors

A conversion factor is a number that is used to multiply or divide one set of surface measurement units into another. If a conversion is required, it must be done using the correct conversion factor to get an identical value. For instance, 24 inches equals two feet when converting between inches and feet. The correct conversion factor to convert 1 hour to minutes is 1 hour = 60 minutes.

In a sense, you need to multiply the original measurement by a carefully chosen form of the number 1 to convert all units. Explaining with proper briefing:

1. Write the result as a fraction with the provided units opposite from the initial measurement after finding the given and desired units. That fraction has a value of 1 since the top and bottom are both equal.
2. Next, increase the conversion fraction to the same power as the specified surface area units.
3. Finally, simplify after multiplying the initial measurement by the conversion fraction.

Conversion Factors

Converting from Surface Area Units	Unit Symbol	Multiply by ( m^2 / Unit )
square inch	in^2	0.00064516
square foot	ft^2	0.09290304
square yard	yd^2	0.83612736
square miles	mi^2	2589988. 110336
acre	ac	4046. 8564224
hectare	ha	10000
square centimetre	cm^2	0.0001
square kilometre	km^2	1000000

Pressure Measure       

1 psi = 2.036 in Hg at 32°F

1 atm = 14.7 psi

1 psi = 2.304 ft of water 

Weight

1 gallon of water = 8.34 pounds

1 cubic foot of water = 62.4 pounds

Volume Measure          

1 pint = 2 cups

1 quart = 2 pints

4 quarts = 1 gallon

1 liter = 2.11 pints

1 liter = 0.2642 gallons

1 cubic foot = ft3 = 7.4805 gallons

1 gallon = 0.003485 cubic meters = m3

1 gallon = 0.13346 cubic feet = ft3

1 gallon = 231 cubic inches = in3

1 cubic foot = ft3 = 1,728 cubic inches = in3

Time Measure               

1 minute = 60 seconds

1 hour = 60 minutes

1 day = 24 hours

1 week = 7 days

1 year = 12 months

Linear Measure

1 foot = 12 inches

1 foot = 0.3048 meter

1 mile = 5,280 feet

1 chain = 66 feet

1 mile = 80 chains

Area Measure               

1 acre = 10 square chains = ch2

1 acre = 43,560 square feet = ft2 

1 acre= 4,046 square meters = m2

1 square mile = 640 acres

Force Measure              

1 kilogram = 2.205 pounds

1 kg m/s2 = 0.2248 pounds

1 slug ft/ s2 = 1 pound

Examples

Example 1

How many pints are there in a 10-gallon pail? Also, find out How many cups are in a 10-gallon pail?

Step 1. Find the right conversion factors.

1 gallon = 4 quarts, 1 quart = 2 pints, 1 pint = 2 cups

Step 2. Make a cancellation table so all units will cancel, except the desired unit, pints.

Gallons to Pints

There are 80 pints in 5 gallons.

Pints to Cups

There are 160 cups in 5 gallons.

Example 2

Akash fills a backpack pump with 5 gallons of water. How much weight in water has he added to his pack?

1. 42 lbs
2. 50 lbs
3. 10 lbs
4. 100 lbs

Step 1. Find the suitable conversion factor.

1 gallon = 8.34 Ibs

Step 2: Make a cancellation table so all units will cancel, except the desired unit, chains.

Feet to Chains

Akash has 42Ibs weight in water that he added to his backpack.

Conclusion

The most important conversion factors and their related numbers have been given here. It’s important to have experience converting units no matter what you are studying. You can ensure you are keeping the units straight by writing your unit cancellation table on paper, the back of an envelope, or whatever else may be handy. Good planning requires the solution of issues in units you are familiar with. With units, errors can be a lot. Check your result using your knowledge of units.