Measurement and Conversion Problems

This video tutorial covers dimensional analysis through various examples. It starts with converting years to seconds, followed by converting speed from miles per hour to meters per second. The tutorial then explains how to convert density from kilograms per cubic meter to grams per milliliter. It also includes a section on calculating the area of a doormat in square inches and converting it to square feet. Finally, it demonstrates how to calculate the time required to read a book based on pages per hour.

How many seconds are there in a year if you assume a year has 365 days?

• 31,000,000 seconds

• 30,000,000 seconds

• 31,557,600 seconds

• 31,536,000 seconds

What is the conversion factor from miles to kilometers?

• 1 mile = 1.609 kilometers

• 1 mile = 1.5 kilometers

• 1 mile = 2 kilometers

• 1 mile = 1.2 kilometers

If a car travels at 45 miles per hour, what is its speed in meters per second?

• 30.0 meters per second

• 15.0 meters per second

• 25.0 meters per second

• 20.1 meters per second

What is the density of aluminum in grams per milliliter if it is 2700 kilograms per cubic meter?

• 2.5 grams per milliliter

• 3.0 grams per milliliter

• 2.9 grams per milliliter

• 2.7 grams per milliliter

How many cubic centimeters are there in one cubic meter?

• 10,000 cubic centimeters

• 1,000,000 cubic centimeters

• 1,000 cubic centimeters

• 100,000 cubic centimeters

What is the area of a doormat with dimensions 26 inches by 18 inches in square inches?

• 468 square inches

• 500 square inches

• 450 square inches

• 400 square inches

How many square feet is a doormat that measures 468 square inches?

• 3.25 square feet

• 4.00 square feet

• 3.00 square feet

• 3.50 square feet

If John reads 15 pages in 45 minutes, how long will it take him to read 200 pages?

• 10 hours

• 8 hours

• 12 hours

• 15 hours

What is the conversion factor from minutes to hours?

• 90 minutes = 1 hour

• 30 minutes = 1 hour

• 45 minutes = 1 hour

• 60 minutes = 1 hour

How many pages can John read in one hour if he reads 15 pages in 45 minutes?

• 20 pages

• 18 pages

• 22 pages

• 25 pages