Conversion of Units Homework Name

Conversion of Units Homework Name: Mr. Rastoka Date:

Directions: Answer each problem, showing all work. If there is a yes or no part to a question please answer it. Distribution of points is as follows: One point for correct work, one point for correct number answer, and one point for correct unit answer.

1. Find the height of length of these natural wonders in kilometers, meters, and centimeters.

a. The longest cave system in the world is the Mammoth Cave system in Central Kentucky, with a length of 348 miles

b. The waterfall with the greatest single drop is Ribbon Falls in California with drops 1,612 ft.

c. At 20,320 ft, Mount McKinley in Alaska is America’s highest mountain.

d. The deepest canyon in the United States is King’s Canyon in California, with a depth of 8,200 ft.

2. If a car is traveling at a speed of 28 m/s, is the driver exceeding the speed limit of 55 miles per hour? Conversion of Units Homework Name: Mr. Rastoka Date:

3. The traffic light turns green, and the driver of a high-performance car slams the accelerator to the floor. The accelerometer registers 22 m/s2. Convert this reading to km/min2.

4. A fathom is a unit of length, usually reserved for measuring the depth of water. A fathom is approximately 6 feet in length. Take the distance from Earth to the Moon to be 250,000 miles, and use the given approximation to find the distance in fathoms.

5. A small turtle moves at a speed of 186 furlongs per fortnight. Find the speed of the turtle in centimeters per second. 1 furlong equals 220 yards and 1 fortnight equals 14 days.

6. A car is traveling at a speed of 38 m/s on an interstate highway where the speed limit is 75 miles/hour. Is the driver exceeding the speed limit? Justify your answer.

7. A certain car has a fuel efficiency of 25 miles per gallon. Express this in kilometers per liter. Conversion of Units Homework Name: Mr. Rastoka Date:

8. The diameter of a sphere is measured to be 5.36 inches. Find:

a. The radius of the sphere in centimeters.

b. The surface area of the sphere in square centimeters.

c. The volume of the sphere in cubic centimeters.

9. Suppose your hair grows at a rate of 1/32 inch/day. Find the rate at which it grows in nanometers per second.

10. The speed of light is about 3 X 108 m/s. Convert this to miles per hour.

11. A house is 50 ft long and 26 ft wide and has 8 ft high ceilings. What is the volume of the interior of the house in cubic meters and in cubic centimeters?