Practice: Dimensional Analysis

Front

What is dimensional analysis?

Back

Dimensional analysis is a mathematical technique used to convert one set of units to another, ensuring that the equations and calculations are dimensionally consistent.

Front

How do you convert inches to feet?

Back

To convert inches to feet, divide the number of inches by 12, since there are 12 inches in a foot.

Front

How do you convert feet to miles?

Back

To convert feet to miles, divide the number of feet by 5280, as there are 5280 feet in a mile.

Front

What is the formula for calculating the volume of a rectangular prism?

Back

The volume of a rectangular prism is calculated using the formula: Volume = length × width × height.

Front

How do you convert feet to meters?

Back

To convert feet to meters, divide the number of feet by 3.28, since 1 meter is approximately 3.28 feet.

Front

What is the total number of pages in a book if there are 23 textbooks with 31 chapters each, and each chapter has 5 pages?

Back

Total pages = 23 textbooks × 31 chapters/textbook × 5 pages/chapter = 3600 pages.

Front

How many ounces are in a gallon?

Back

There are 128 ounces in a gallon.

Front

If a puppy is fed 2.5 ounces of formula 8 times a day, how much formula does it consume in one day?

Back

Daily consumption = 2.5 ounces × 8 times = 20 ounces per day.

Front

How do you calculate the total number of ice cream cones served in a week if you serve 25 cones per hour for 8 hours a day?

Back

Total cones per week = 25 cones/hour × 8 hours/day × 5 days/week = 1000 cones/week.

Front

What is the relationship between the number of cones served and the salary earned if you want to save $5800?

Back

To find the number of cones needed to serve to earn $5800, divide the total savings by the earnings per cone.