# Dimensional Analysis - Video Tutorials & Practice Problems

We use **D****imensional Analysis **as a fail proof process to convert from one unit to another.

## Dimensional Analysis

Using Dimensional Analysis, start with the given amount and obtain the end amount by using conversion factors.

## Dimensional Analysis Example 1

If the distance between Washington, D.C. and New York City is 224.9 miles, determine the distance in centimeters.

The average human body is composed of approximately 160 fluid ounces of blood. How many quarts of blood does the average human body possess? (1 gallon = 4 quarts, 1 pint = 2 cups, 1 cup = 8 fluid ounces, 1 quart = 2 pints).

Lipitor, a pharmaceutical drug that has been shown to lower 'bad' cholesterol levels, while boosting 'good' cholesterol levels had over $12 billion in sales last year. Each pill weighs 2.5 g, which contains 4.0% of the active ingredient by mass. What mass in kg of the active ingredient is present in one bottle of 120 pills?

## Do you want more practice?

- Solve each of the following problems using one or more conversion factors: d. A plant fertilizer contains 15%...
- Solve each of the following problems using one or more conversion factors: c. An athlete has 15% body fat by ...
- Solve each of the following problems using one or more conversion factors: a. A container holds 0.500 qt of l...
- Solve each of the following problems using one or more conversion factors: b. What is the mass, in kilograms,...
- Solve each of the following problems using one or more conversion factors: a. Wine is 12% alcohol by volume. ...
- Using conversion factors, solve each of the following clinical problems: b. A patient needs 0.024 g of a sulf...
- Using conversion factors, solve each of the following clinical problems: a. You have used 250 L of distilled ...
- Using conversion factors, solve each of the following clinical problems: a. The physician has ordered 1.0 g o...
- Calcium citrate, Ca(C6H5O7)2(MW = 498.5 amu), is a common dietary supplement to provide calcium needed for str...
- The white blood cell concentration in normal blood is approximately 12,000 cells/mm^2 of blood. How many white...
- Obtain a package of your favorite snack food and examine the nutritional information on the label. Confirm the...
- The length of this rug is 38.4 in. and the width is 24.2 in. (2.3, 2.6) d. Calculate the area of the rug, in ...
- A shipping box has a length of 7.00 in., a width of 6.00 in., and a height of 4.00 in. (2.3, 2.6) b. What is...
- A shipping box has a length of 7.00 in., a width of 6.00 in., and a height of 4.00 in. (2.3, 2.6) a. What is...
- Gemstones are weighed in carats, where 1 carat = 200 mg exactly. What is the mass in grams of the Hope diamond...
- In France, grapes are 1.95 euros per kilogram. What is the cost of grapes, in dollars per pound, if the exchan...
- In Mexico, avocados are 48 pesos per kilogram. What is the cost, in cents, of an avocado that weighs 0.45 lb i...
- To treat a bacterial infection, a doctor orders 4 tablets of amoxicillin per day for 10 days. If each tablet c...
- a. An athlete with a body mass of 65 kg has 3.0% body fat. How many pounds of body fat does that person have? ...