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How Do You Calculate Imperial Units of Measurement?

This entry uses the imperial system of measurement. For the metric system, click here.

Here, you are given some examples on what happens when you multiply numbers by different units of measurements.

Example 1

A room is 3ft wide and 4ft long. How many square feet is the room?

3ft 4ft = 3 4 ft ft = 12ft2

A pool filled with Kool-Aid

Example 2

You are celebrating your birthday and you want to serve Kool-Aid from a small plastic pool in your garden. You fill the pool with 80.5pt Kool-Aid. How many cups of Kool-Aid is that?

80.5pt = (80.5 2)cups = 161cups Thus, you have 161 cups of Kool-Aid for your guests.

Example 3

What is the volume of a cube-shaped container with sides of 6ft? Give your answer in gallons (gal).

First, you have to find the volume of the container. That is, V = l b h. Hence, the calculation is like this: V = 6ft 6ft 6ft = 6 6 6 ft ft ft = 216ft3

Now, you have to calculate into gallon. Note that 1 ft3 approximately equals 7.48 gal. 216ft3 = 125 7.48gal = 1615.68gal

The volume of the container is thus 1615.68 gallons.

You are also going to experience situations with compound units which consists of several simple units. For example, the unit for speed is a compound unit, consisting of miles and hours (mi/h or mph).

Example 4

A car driver is driving 70 miles in 1.5 hours. How fast has he driven on average per hour?

In this exercise, you need to know the formula for distance, velocity and time:

s = v t.

Since you are going to find the speed, you must first solve the formula for v: s = v t s t = v t t v = s t = 70mi 1.5h 46.7mi/h

Thus, the car driver drove 46.7 mi/h on average.

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